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Finding the Fourth Proportional to 94.65, 130.70 and 65.14

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Solution

The fourth proportional to 94.65, 130.70 and 65.14 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.65 : 130.70 = 65.14 : x
  2. Step 2: Convert to fraction form
    94.65/130.70 = 65.14/x
  3. Step 3: Cross multiply
    94.65x = 130.70 × 65.14
  4. Step 4: Simplify right side
    94.65x = 8,513.80
  5. Step 5: Solve for x
    x = 8,513.80/94.65
  6. Step 6: Final answer
    x = 89.95

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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.