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Finding the Fourth Proportional to 15.92, 24 and 15.16

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Solution

The fourth proportional to 15.92, 24 and 15.16 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.92 : 24 = 15.16 : x
  2. Step 2: Convert to fraction form
    15.92/24 = 15.16/x
  3. Step 3: Cross multiply
    15.92x = 24 × 15.16
  4. Step 4: Simplify right side
    15.92x = 363.84
  5. Step 5: Solve for x
    x = 363.84/15.92
  6. Step 6: Final answer
    x = 22.85

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1.5x scale

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.