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Finding the Fourth Proportional to 148.32, 204.69 and 90.14

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Solution

The fourth proportional to 148.32, 204.69 and 90.14 is: 124.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 204.69 = 90.14 : x
  2. Step 2: Convert to fraction form
    148.32/204.69 = 90.14/x
  3. Step 3: Cross multiply
    148.32x = 204.69 × 90.14
  4. Step 4: Simplify right side
    148.32x = 18,449.73
  5. Step 5: Solve for x
    x = 18,449.73/148.32
  6. Step 6: Final answer
    x = 124.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.