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Finding the Fourth Proportional to 112.23, 154.70 and 102.91

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Solution

The fourth proportional to 112.23, 154.70 and 102.91 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.23 : 154.70 = 102.91 : x
  2. Step 2: Convert to fraction form
    112.23/154.70 = 102.91/x
  3. Step 3: Cross multiply
    112.23x = 154.70 × 102.91
  4. Step 4: Simplify right side
    112.23x = 15,920.18
  5. Step 5: Solve for x
    x = 15,920.18/112.23
  6. Step 6: Final answer
    x = 141.85

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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.