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Finding the Fourth Proportional to 157.54, 217.40 and 102.28

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Solution

The fourth proportional to 157.54, 217.40 and 102.28 is: 141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.54 : 217.40 = 102.28 : x
  2. Step 2: Convert to fraction form
    157.54/217.40 = 102.28/x
  3. Step 3: Cross multiply
    157.54x = 217.40 × 102.28
  4. Step 4: Simplify right side
    157.54x = 22,235.67
  5. Step 5: Solve for x
    x = 22,235.67/157.54
  6. Step 6: Final answer
    x = 141.14

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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.