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Finding the Fourth Proportional to 15.13, 22.80 and 15.02

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Solution

The fourth proportional to 15.13, 22.80 and 15.02 is: 22.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.13 : 22.80 = 15.02 : x
  2. Step 2: Convert to fraction form
    15.13/22.80 = 15.02/x
  3. Step 3: Cross multiply
    15.13x = 22.80 × 15.02
  4. Step 4: Simplify right side
    15.13x = 342.46
  5. Step 5: Solve for x
    x = 342.46/15.13
  6. Step 6: Final answer
    x = 22.63

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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.