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Finding the Fourth Proportional to 10.54, 15.78 and 10.52

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Solution

The fourth proportional to 10.54, 15.78 and 10.52 is: 15.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.54 : 15.78 = 10.52 : x
  2. Step 2: Convert to fraction form
    10.54/15.78 = 10.52/x
  3. Step 3: Cross multiply
    10.54x = 15.78 × 10.52
  4. Step 4: Simplify right side
    10.54x = 166.01
  5. Step 5: Solve for x
    x = 166.01/10.54
  6. Step 6: Final answer
    x = 15.75

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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.