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Finding the Fourth Proportional to 69, 103.01 and 62.16

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Solution

The fourth proportional to 69, 103.01 and 62.16 is: 92.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 103.01 = 62.16 : x
  2. Step 2: Convert to fraction form
    69/103.01 = 62.16/x
  3. Step 3: Cross multiply
    69x = 103.01 × 62.16
  4. Step 4: Simplify right side
    69x = 6,402.79
  5. Step 5: Solve for x
    x = 6,402.79/69
  6. Step 6: Final answer
    x = 92.79

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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.