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Finding the Fourth Proportional to 15.59, 23.19 and 15.23

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Solution

The fourth proportional to 15.59, 23.19 and 15.23 is: 22.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.59 : 23.19 = 15.23 : x
  2. Step 2: Convert to fraction form
    15.59/23.19 = 15.23/x
  3. Step 3: Cross multiply
    15.59x = 23.19 × 15.23
  4. Step 4: Simplify right side
    15.59x = 353.07
  5. Step 5: Solve for x
    x = 353.07/15.59
  6. Step 6: Final answer
    x = 22.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.