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Finding the Fourth Proportional to 10.54, 15.87 and 10.14

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Solution

The fourth proportional to 10.54, 15.87 and 10.14 is: 15.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.54 : 15.87 = 10.14 : x
  2. Step 2: Convert to fraction form
    10.54/15.87 = 10.14/x
  3. Step 3: Cross multiply
    10.54x = 15.87 × 10.14
  4. Step 4: Simplify right side
    10.54x = 160.90
  5. Step 5: Solve for x
    x = 160.90/10.54
  6. Step 6: Final answer
    x = 15.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.