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Finding the Fourth Proportional to 94.71, 130.77 and 59.76

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Solution

The fourth proportional to 94.71, 130.77 and 59.76 is: 82.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.71 : 130.77 = 59.76 : x
  2. Step 2: Convert to fraction form
    94.71/130.77 = 59.76/x
  3. Step 3: Cross multiply
    94.71x = 130.77 × 59.76
  4. Step 4: Simplify right side
    94.71x = 7,814.82
  5. Step 5: Solve for x
    x = 7,814.82/94.71
  6. Step 6: Final answer
    x = 82.51

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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.