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Finding the Fourth Proportional to 98.59, 147.90 and 32.71

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Solution

The fourth proportional to 98.59, 147.90 and 32.71 is: 49.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 147.90 = 32.71 : x
  2. Step 2: Convert to fraction form
    98.59/147.90 = 32.71/x
  3. Step 3: Cross multiply
    98.59x = 147.90 × 32.71
  4. Step 4: Simplify right side
    98.59x = 4,837.07
  5. Step 5: Solve for x
    x = 4,837.07/98.59
  6. Step 6: Final answer
    x = 49.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.