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Finding the Fourth Proportional to 157.15, 216.64 and 101.80

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Solution

The fourth proportional to 157.15, 216.64 and 101.80 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 216.64 = 101.80 : x
  2. Step 2: Convert to fraction form
    157.15/216.64 = 101.80/x
  3. Step 3: Cross multiply
    157.15x = 216.64 × 101.80
  4. Step 4: Simplify right side
    157.15x = 22,053.95
  5. Step 5: Solve for x
    x = 22,053.95/157.15
  6. Step 6: Final answer
    x = 140.34

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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.