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Finding the Fourth Proportional to 113.90, 170.68 and 77.76

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Solution

The fourth proportional to 113.90, 170.68 and 77.76 is: 116.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.90 : 170.68 = 77.76 : x
  2. Step 2: Convert to fraction form
    113.90/170.68 = 77.76/x
  3. Step 3: Cross multiply
    113.90x = 170.68 × 77.76
  4. Step 4: Simplify right side
    113.90x = 13,272.08
  5. Step 5: Solve for x
    x = 13,272.08/113.90
  6. Step 6: Final answer
    x = 116.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.