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Finding the Fourth Proportional to 96.04, 143.86 and 61.71

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Solution

The fourth proportional to 96.04, 143.86 and 61.71 is: 92.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.04 : 143.86 = 61.71 : x
  2. Step 2: Convert to fraction form
    96.04/143.86 = 61.71/x
  3. Step 3: Cross multiply
    96.04x = 143.86 × 61.71
  4. Step 4: Simplify right side
    96.04x = 8,877.60
  5. Step 5: Solve for x
    x = 8,877.60/96.04
  6. Step 6: Final answer
    x = 92.44

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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.