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Finding the Fourth Proportional to 15.65, 23.47 and 15.36

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Solution

The fourth proportional to 15.65, 23.47 and 15.36 is: 23.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.65 : 23.47 = 15.36 : x
  2. Step 2: Convert to fraction form
    15.65/23.47 = 15.36/x
  3. Step 3: Cross multiply
    15.65x = 23.47 × 15.36
  4. Step 4: Simplify right side
    15.65x = 360.66
  5. Step 5: Solve for x
    x = 360.66/15.65
  6. Step 6: Final answer
    x = 23.05

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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.