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Finding the Fourth Proportional to 147.92, 204.32 and 115.52

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Solution

The fourth proportional to 147.92, 204.32 and 115.52 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.92 : 204.32 = 115.52 : x
  2. Step 2: Convert to fraction form
    147.92/204.32 = 115.52/x
  3. Step 3: Cross multiply
    147.92x = 204.32 × 115.52
  4. Step 4: Simplify right side
    147.92x = 23,603.05
  5. Step 5: Solve for x
    x = 23,603.05/147.92
  6. Step 6: Final answer
    x = 159.57

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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.