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Finding the Fourth Proportional to 72.74, 109.50 and 64.35

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Solution

The fourth proportional to 72.74, 109.50 and 64.35 is: 96.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.74 : 109.50 = 64.35 : x
  2. Step 2: Convert to fraction form
    72.74/109.50 = 64.35/x
  3. Step 3: Cross multiply
    72.74x = 109.50 × 64.35
  4. Step 4: Simplify right side
    72.74x = 7,046.33
  5. Step 5: Solve for x
    x = 7,046.33/72.74
  6. Step 6: Final answer
    x = 96.88

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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.