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Finding the Fourth Proportional to 157.18, 216.57 and 105.34

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Solution

The fourth proportional to 157.18, 216.57 and 105.34 is: 145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.18 : 216.57 = 105.34 : x
  2. Step 2: Convert to fraction form
    157.18/216.57 = 105.34/x
  3. Step 3: Cross multiply
    157.18x = 216.57 × 105.34
  4. Step 4: Simplify right side
    157.18x = 22,813.48
  5. Step 5: Solve for x
    x = 22,813.48/157.18
  6. Step 6: Final answer
    x = 145.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.