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Finding the Fourth Proportional to 157, 216.61 and 101.78

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Solution

The fourth proportional to 157, 216.61 and 101.78 is: 140.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157 : 216.61 = 101.78 : x
  2. Step 2: Convert to fraction form
    157/216.61 = 101.78/x
  3. Step 3: Cross multiply
    157x = 216.61 × 101.78
  4. Step 4: Simplify right side
    157x = 22,046.57
  5. Step 5: Solve for x
    x = 22,046.57/157
  6. Step 6: Final answer
    x = 140.42

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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.