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Finding the Fourth Proportional to 72.89, 108.91 and 64.10

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Solution

The fourth proportional to 72.89, 108.91 and 64.10 is: 95.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.89 : 108.91 = 64.10 : x
  2. Step 2: Convert to fraction form
    72.89/108.91 = 64.10/x
  3. Step 3: Cross multiply
    72.89x = 108.91 × 64.10
  4. Step 4: Simplify right side
    72.89x = 6,981.13
  5. Step 5: Solve for x
    x = 6,981.13/72.89
  6. Step 6: Final answer
    x = 95.78

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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.