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Finding the Fourth Proportional to 148.32, 204.59 and 101.61

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Solution

The fourth proportional to 148.32, 204.59 and 101.61 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.32 : 204.59 = 101.61 : x
  2. Step 2: Convert to fraction form
    148.32/204.59 = 101.61/x
  3. Step 3: Cross multiply
    148.32x = 204.59 × 101.61
  4. Step 4: Simplify right side
    148.32x = 20,788.64
  5. Step 5: Solve for x
    x = 20,788.64/148.32
  6. Step 6: Final answer
    x = 140.16

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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.