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Finding the Fourth Proportional to 10.59, 15.88 and 7.38

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Solution

The fourth proportional to 10.59, 15.88 and 7.38 is: 11.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.59 : 15.88 = 7.38 : x
  2. Step 2: Convert to fraction form
    10.59/15.88 = 7.38/x
  3. Step 3: Cross multiply
    10.59x = 15.88 × 7.38
  4. Step 4: Simplify right side
    10.59x = 117.19
  5. Step 5: Solve for x
    x = 117.19/10.59
  6. Step 6: Final answer
    x = 11.07

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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.