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Finding the Fourth Proportional to 113.06, 155.96 and 76.16

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Solution

The fourth proportional to 113.06, 155.96 and 76.16 is: 105.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.06 : 155.96 = 76.16 : x
  2. Step 2: Convert to fraction form
    113.06/155.96 = 76.16/x
  3. Step 3: Cross multiply
    113.06x = 155.96 × 76.16
  4. Step 4: Simplify right side
    113.06x = 11,877.91
  5. Step 5: Solve for x
    x = 11,877.91/113.06
  6. Step 6: Final answer
    x = 105.06

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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.