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Finding the Fourth Proportional to 113.60, 156.76 and 61.85

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Solution

The fourth proportional to 113.60, 156.76 and 61.85 is: 85.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 156.76 = 61.85 : x
  2. Step 2: Convert to fraction form
    113.60/156.76 = 61.85/x
  3. Step 3: Cross multiply
    113.60x = 156.76 × 61.85
  4. Step 4: Simplify right side
    113.60x = 9,694.98
  5. Step 5: Solve for x
    x = 9,694.98/113.60
  6. Step 6: Final answer
    x = 85.35

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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.