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Finding the Fourth Proportional to 10.59, 14.61 and 7.13

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Solution

The fourth proportional to 10.59, 14.61 and 7.13 is: 9.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.59 : 14.61 = 7.13 : x
  2. Step 2: Convert to fraction form
    10.59/14.61 = 7.13/x
  3. Step 3: Cross multiply
    10.59x = 14.61 × 7.13
  4. Step 4: Simplify right side
    10.59x = 104.18
  5. Step 5: Solve for x
    x = 104.18/10.59
  6. Step 6: Final answer
    x = 9.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.