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Finding the Fourth Proportional to 15.30, 23.08 and 15.15

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Solution

The fourth proportional to 15.30, 23.08 and 15.15 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.30 : 23.08 = 15.15 : x
  2. Step 2: Convert to fraction form
    15.30/23.08 = 15.15/x
  3. Step 3: Cross multiply
    15.30x = 23.08 × 15.15
  4. Step 4: Simplify right side
    15.30x = 349.66
  5. Step 5: Solve for x
    x = 349.66/15.30
  6. Step 6: Final answer
    x = 22.85

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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.