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Finding the Fourth Proportional to 10.61, 15.86 and 9.19

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Solution

The fourth proportional to 10.61, 15.86 and 9.19 is: 13.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.61 : 15.86 = 9.19 : x
  2. Step 2: Convert to fraction form
    10.61/15.86 = 9.19/x
  3. Step 3: Cross multiply
    10.61x = 15.86 × 9.19
  4. Step 4: Simplify right side
    10.61x = 145.71
  5. Step 5: Solve for x
    x = 145.71/10.61
  6. Step 6: Final answer
    x = 13.73

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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.