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Finding the Fourth Proportional to 24.30, 36.42 and 14.16

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Solution

The fourth proportional to 24.30, 36.42 and 14.16 is: 21.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.30 : 36.42 = 14.16 : x
  2. Step 2: Convert to fraction form
    24.30/36.42 = 14.16/x
  3. Step 3: Cross multiply
    24.30x = 36.42 × 14.16
  4. Step 4: Simplify right side
    24.30x = 515.71
  5. Step 5: Solve for x
    x = 515.71/24.30
  6. Step 6: Final answer
    x = 21.22

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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.