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Finding the Fourth Proportional to 94.62, 130.53 and 65.12

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Solution

The fourth proportional to 94.62, 130.53 and 65.12 is: 89.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.62 : 130.53 = 65.12 : x
  2. Step 2: Convert to fraction form
    94.62/130.53 = 65.12/x
  3. Step 3: Cross multiply
    94.62x = 130.53 × 65.12
  4. Step 4: Simplify right side
    94.62x = 8,500.11
  5. Step 5: Solve for x
    x = 8,500.11/94.62
  6. Step 6: Final answer
    x = 89.83

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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.