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Finding the Fourth Proportional to 156.81, 216.24 and 101.55

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Solution

The fourth proportional to 156.81, 216.24 and 101.55 is: 140.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.81 : 216.24 = 101.55 : x
  2. Step 2: Convert to fraction form
    156.81/216.24 = 101.55/x
  3. Step 3: Cross multiply
    156.81x = 216.24 × 101.55
  4. Step 4: Simplify right side
    156.81x = 21,959.17
  5. Step 5: Solve for x
    x = 21,959.17/156.81
  6. Step 6: Final answer
    x = 140.04

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