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Finding the Fourth Proportional to 68.81, 102.72 and 62.42

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Solution

The fourth proportional to 68.81, 102.72 and 62.42 is: 93.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68.81 : 102.72 = 62.42 : x
  2. Step 2: Convert to fraction form
    68.81/102.72 = 62.42/x
  3. Step 3: Cross multiply
    68.81x = 102.72 × 62.42
  4. Step 4: Simplify right side
    68.81x = 6,411.27
  5. Step 5: Solve for x
    x = 6,411.27/68.81
  6. Step 6: Final answer
    x = 93.18

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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.