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Finding the Fourth Proportional to 98.10, 147.36 and 86.37

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Solution

The fourth proportional to 98.10, 147.36 and 86.37 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.10 : 147.36 = 86.37 : x
  2. Step 2: Convert to fraction form
    98.10/147.36 = 86.37/x
  3. Step 3: Cross multiply
    98.10x = 147.36 × 86.37
  4. Step 4: Simplify right side
    98.10x = 12,727.48
  5. Step 5: Solve for x
    x = 12,727.48/98.10
  6. Step 6: Final answer
    x = 129.74

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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.