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Finding the Fourth Proportional to 94.31, 130.02 and 64.80

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Solution

The fourth proportional to 94.31, 130.02 and 64.80 is: 89.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.31 : 130.02 = 64.80 : x
  2. Step 2: Convert to fraction form
    94.31/130.02 = 64.80/x
  3. Step 3: Cross multiply
    94.31x = 130.02 × 64.80
  4. Step 4: Simplify right side
    94.31x = 8,424.57
  5. Step 5: Solve for x
    x = 8,424.57/94.31
  6. Step 6: Final answer
    x = 89.33

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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.