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Finding the Fourth Proportional to 98.86, 148.36 and 64.61

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Solution

The fourth proportional to 98.86, 148.36 and 64.61 is: 96.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.86 : 148.36 = 64.61 : x
  2. Step 2: Convert to fraction form
    98.86/148.36 = 64.61/x
  3. Step 3: Cross multiply
    98.86x = 148.36 × 64.61
  4. Step 4: Simplify right side
    98.86x = 9,585.43
  5. Step 5: Solve for x
    x = 9,585.43/98.86
  6. Step 6: Final answer
    x = 96.96

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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.