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Finding the Fourth Proportional to 113.68, 155.92 and 112.06

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Solution

The fourth proportional to 113.68, 155.92 and 112.06 is: 153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.68 : 155.92 = 112.06 : x
  2. Step 2: Convert to fraction form
    113.68/155.92 = 112.06/x
  3. Step 3: Cross multiply
    113.68x = 155.92 × 112.06
  4. Step 4: Simplify right side
    113.68x = 17,472.40
  5. Step 5: Solve for x
    x = 17,472.40/113.68
  6. Step 6: Final answer
    x = 153.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.