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Finding the Fourth Proportional to 113.47, 169.97 and 98.15

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Solution

The fourth proportional to 113.47, 169.97 and 98.15 is: 147.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.47 : 169.97 = 98.15 : x
  2. Step 2: Convert to fraction form
    113.47/169.97 = 98.15/x
  3. Step 3: Cross multiply
    113.47x = 169.97 × 98.15
  4. Step 4: Simplify right side
    113.47x = 16,681.21
  5. Step 5: Solve for x
    x = 16,681.21/113.47
  6. Step 6: Final answer
    x = 147.01

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