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Finding the Fourth Proportional to 94.74, 141.84 and 64.24

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Solution

The fourth proportional to 94.74, 141.84 and 64.24 is: 96.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.74 : 141.84 = 64.24 : x
  2. Step 2: Convert to fraction form
    94.74/141.84 = 64.24/x
  3. Step 3: Cross multiply
    94.74x = 141.84 × 64.24
  4. Step 4: Simplify right side
    94.74x = 9,111.80
  5. Step 5: Solve for x
    x = 9,111.80/94.74
  6. Step 6: Final answer
    x = 96.18

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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.