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Finding the Fourth Proportional to 98.69, 147.98 and 58.13

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Solution

The fourth proportional to 98.69, 147.98 and 58.13 is: 87.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.69 : 147.98 = 58.13 : x
  2. Step 2: Convert to fraction form
    98.69/147.98 = 58.13/x
  3. Step 3: Cross multiply
    98.69x = 147.98 × 58.13
  4. Step 4: Simplify right side
    98.69x = 8,601.05
  5. Step 5: Solve for x
    x = 8,601.05/98.69
  6. Step 6: Final answer
    x = 87.16

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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.