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Finding the Fourth Proportional to 113.59, 156.85 and 76.87

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Solution

The fourth proportional to 113.59, 156.85 and 76.87 is: 106.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.59 : 156.85 = 76.87 : x
  2. Step 2: Convert to fraction form
    113.59/156.85 = 76.87/x
  3. Step 3: Cross multiply
    113.59x = 156.85 × 76.87
  4. Step 4: Simplify right side
    113.59x = 12,057.06
  5. Step 5: Solve for x
    x = 12,057.06/113.59
  6. Step 6: Final answer
    x = 106.15

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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.