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Finding the Fourth Proportional to 98.39, 147.18 and 75.31

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Solution

The fourth proportional to 98.39, 147.18 and 75.31 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 147.18 = 75.31 : x
  2. Step 2: Convert to fraction form
    98.39/147.18 = 75.31/x
  3. Step 3: Cross multiply
    98.39x = 147.18 × 75.31
  4. Step 4: Simplify right side
    98.39x = 11,084.13
  5. Step 5: Solve for x
    x = 11,084.13/98.39
  6. Step 6: Final answer
    x = 112.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.