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Finding the Fourth Proportional to 98.76, 148.20 and 44.65

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Solution

The fourth proportional to 98.76, 148.20 and 44.65 is: 67.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 148.20 = 44.65 : x
  2. Step 2: Convert to fraction form
    98.76/148.20 = 44.65/x
  3. Step 3: Cross multiply
    98.76x = 148.20 × 44.65
  4. Step 4: Simplify right side
    98.76x = 6,617.15
  5. Step 5: Solve for x
    x = 6,617.15/98.76
  6. Step 6: Final answer
    x = 67.00

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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.