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Finding the Fourth Proportional to 64.72, 97.56 and 60.80

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Solution

The fourth proportional to 64.72, 97.56 and 60.80 is: 91.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.72 : 97.56 = 60.80 : x
  2. Step 2: Convert to fraction form
    64.72/97.56 = 60.80/x
  3. Step 3: Cross multiply
    64.72x = 97.56 × 60.80
  4. Step 4: Simplify right side
    64.72x = 5,931.65
  5. Step 5: Solve for x
    x = 5,931.65/64.72
  6. Step 6: Final answer
    x = 91.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.