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Finding the Fourth Proportional to 148.52, 204.91 and 86.34

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Solution

The fourth proportional to 148.52, 204.91 and 86.34 is: 119.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.52 : 204.91 = 86.34 : x
  2. Step 2: Convert to fraction form
    148.52/204.91 = 86.34/x
  3. Step 3: Cross multiply
    148.52x = 204.91 × 86.34
  4. Step 4: Simplify right side
    148.52x = 17,691.93
  5. Step 5: Solve for x
    x = 17,691.93/148.52
  6. Step 6: Final answer
    x = 119.12

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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.