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Finding the Fourth Proportional to 156.55, 215.92 and 101.30

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Solution

The fourth proportional to 156.55, 215.92 and 101.30 is: 139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.55 : 215.92 = 101.30 : x
  2. Step 2: Convert to fraction form
    156.55/215.92 = 101.30/x
  3. Step 3: Cross multiply
    156.55x = 215.92 × 101.30
  4. Step 4: Simplify right side
    156.55x = 21,872.70
  5. Step 5: Solve for x
    x = 21,872.70/156.55
  6. Step 6: Final answer
    x = 139.72

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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.