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Finding the Fourth Proportional to 98.52, 147.47 and 81.66

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Solution

The fourth proportional to 98.52, 147.47 and 81.66 is: 122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.52 : 147.47 = 81.66 : x
  2. Step 2: Convert to fraction form
    98.52/147.47 = 81.66/x
  3. Step 3: Cross multiply
    98.52x = 147.47 × 81.66
  4. Step 4: Simplify right side
    98.52x = 12,041.99
  5. Step 5: Solve for x
    x = 12,041.99/98.52
  6. Step 6: Final answer
    x = 122.23

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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.