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Finding the Fourth Proportional to 94.47, 130.38 and 57.66

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Solution

The fourth proportional to 94.47, 130.38 and 57.66 is: 79.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.47 : 130.38 = 57.66 : x
  2. Step 2: Convert to fraction form
    94.47/130.38 = 57.66/x
  3. Step 3: Cross multiply
    94.47x = 130.38 × 57.66
  4. Step 4: Simplify right side
    94.47x = 7,517.71
  5. Step 5: Solve for x
    x = 7,517.71/94.47
  6. Step 6: Final answer
    x = 79.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.