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Finding the Fourth Proportional to 147.87, 204.15 and 115.06

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Solution

The fourth proportional to 147.87, 204.15 and 115.06 is: 158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 204.15 = 115.06 : x
  2. Step 2: Convert to fraction form
    147.87/204.15 = 115.06/x
  3. Step 3: Cross multiply
    147.87x = 204.15 × 115.06
  4. Step 4: Simplify right side
    147.87x = 23,489.50
  5. Step 5: Solve for x
    x = 23,489.50/147.87
  6. Step 6: Final answer
    x = 158.85

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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.