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Finding the Fourth Proportional to 98.39, 147.42 and 64.04

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Solution

The fourth proportional to 98.39, 147.42 and 64.04 is: 95.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 147.42 = 64.04 : x
  2. Step 2: Convert to fraction form
    98.39/147.42 = 64.04/x
  3. Step 3: Cross multiply
    98.39x = 147.42 × 64.04
  4. Step 4: Simplify right side
    98.39x = 9,440.04
  5. Step 5: Solve for x
    x = 9,440.04/98.39
  6. Step 6: Final answer
    x = 95.94

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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.