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Finding the Fourth Proportional to 64.13, 95.65 and 60.08

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Solution

The fourth proportional to 64.13, 95.65 and 60.08 is: 89.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 95.65 = 60.08 : x
  2. Step 2: Convert to fraction form
    64.13/95.65 = 60.08/x
  3. Step 3: Cross multiply
    64.13x = 95.65 × 60.08
  4. Step 4: Simplify right side
    64.13x = 5,746.65
  5. Step 5: Solve for x
    x = 5,746.65/64.13
  6. Step 6: Final answer
    x = 89.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.