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Finding the Fourth Proportional to 24.51, 36.58 and 21.14

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Solution

The fourth proportional to 24.51, 36.58 and 21.14 is: 31.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.51 : 36.58 = 21.14 : x
  2. Step 2: Convert to fraction form
    24.51/36.58 = 21.14/x
  3. Step 3: Cross multiply
    24.51x = 36.58 × 21.14
  4. Step 4: Simplify right side
    24.51x = 773.12
  5. Step 5: Solve for x
    x = 773.12/24.51
  6. Step 6: Final answer
    x = 31.54

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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.