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Finding the Fourth Proportional to 98.01, 147.02 and 75.13

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Solution

The fourth proportional to 98.01, 147.02 and 75.13 is: 112.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.01 : 147.02 = 75.13 : x
  2. Step 2: Convert to fraction form
    98.01/147.02 = 75.13/x
  3. Step 3: Cross multiply
    98.01x = 147.02 × 75.13
  4. Step 4: Simplify right side
    98.01x = 11,044.87
  5. Step 5: Solve for x
    x = 11,044.87/98.01
  6. Step 6: Final answer
    x = 112.69

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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.