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Finding the Fourth Proportional to 24.40, 36.36 and 24.08

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Solution

The fourth proportional to 24.40, 36.36 and 24.08 is: 35.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.40 : 36.36 = 24.08 : x
  2. Step 2: Convert to fraction form
    24.40/36.36 = 24.08/x
  3. Step 3: Cross multiply
    24.40x = 36.36 × 24.08
  4. Step 4: Simplify right side
    24.40x = 875.55
  5. Step 5: Solve for x
    x = 875.55/24.40
  6. Step 6: Final answer
    x = 35.88

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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.