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Finding the Fourth Proportional to 73.72, 101.82 and 64.48

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Solution

The fourth proportional to 73.72, 101.82 and 64.48 is: 89.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.72 : 101.82 = 64.48 : x
  2. Step 2: Convert to fraction form
    73.72/101.82 = 64.48/x
  3. Step 3: Cross multiply
    73.72x = 101.82 × 64.48
  4. Step 4: Simplify right side
    73.72x = 6,565.35
  5. Step 5: Solve for x
    x = 6,565.35/73.72
  6. Step 6: Final answer
    x = 89.06

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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.