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Finding the Fourth Proportional to 69.40, 103.92 and 53.38

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Solution

The fourth proportional to 69.40, 103.92 and 53.38 is: 79.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.40 : 103.92 = 53.38 : x
  2. Step 2: Convert to fraction form
    69.40/103.92 = 53.38/x
  3. Step 3: Cross multiply
    69.40x = 103.92 × 53.38
  4. Step 4: Simplify right side
    69.40x = 5,547.25
  5. Step 5: Solve for x
    x = 5,547.25/69.40
  6. Step 6: Final answer
    x = 79.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.