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Finding the Fourth Proportional to 24.07, 36.33 and 23.93

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Solution

The fourth proportional to 24.07, 36.33 and 23.93 is: 36.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.07 : 36.33 = 23.93 : x
  2. Step 2: Convert to fraction form
    24.07/36.33 = 23.93/x
  3. Step 3: Cross multiply
    24.07x = 36.33 × 23.93
  4. Step 4: Simplify right side
    24.07x = 869.51
  5. Step 5: Solve for x
    x = 869.51/24.07
  6. Step 6: Final answer
    x = 36.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.