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Finding the Fourth Proportional to 97.74, 135.06 and 72.81

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Solution

The fourth proportional to 97.74, 135.06 and 72.81 is: 100.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 135.06 = 72.81 : x
  2. Step 2: Convert to fraction form
    97.74/135.06 = 72.81/x
  3. Step 3: Cross multiply
    97.74x = 135.06 × 72.81
  4. Step 4: Simplify right side
    97.74x = 9,833.35
  5. Step 5: Solve for x
    x = 9,833.35/97.74
  6. Step 6: Final answer
    x = 100.61

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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.