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Finding the Fourth Proportional to 10.42, 15.65 and 5.92

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Solution

The fourth proportional to 10.42, 15.65 and 5.92 is: 8.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.42 : 15.65 = 5.92 : x
  2. Step 2: Convert to fraction form
    10.42/15.65 = 5.92/x
  3. Step 3: Cross multiply
    10.42x = 15.65 × 5.92
  4. Step 4: Simplify right side
    10.42x = 92.65
  5. Step 5: Solve for x
    x = 92.65/10.42
  6. Step 6: Final answer
    x = 8.89

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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.