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Finding the Fourth Proportional to 113.40, 168.91 and 112.91

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Solution

The fourth proportional to 113.40, 168.91 and 112.91 is: 168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.40 : 168.91 = 112.91 : x
  2. Step 2: Convert to fraction form
    113.40/168.91 = 112.91/x
  3. Step 3: Cross multiply
    113.40x = 168.91 × 112.91
  4. Step 4: Simplify right side
    113.40x = 19,070.50
  5. Step 5: Solve for x
    x = 19,070.50/113.40
  6. Step 6: Final answer
    x = 168.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.