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Finding the Fourth Proportional to 106.08, 146.32 and 62.43

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Solution

The fourth proportional to 106.08, 146.32 and 62.43 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.08 : 146.32 = 62.43 : x
  2. Step 2: Convert to fraction form
    106.08/146.32 = 62.43/x
  3. Step 3: Cross multiply
    106.08x = 146.32 × 62.43
  4. Step 4: Simplify right side
    106.08x = 9,134.76
  5. Step 5: Solve for x
    x = 9,134.76/106.08
  6. Step 6: Final answer
    x = 86.11

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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.