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Finding the Fourth Proportional to 24.31, 36.26 and 23.77

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Solution

The fourth proportional to 24.31, 36.26 and 23.77 is: 35.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 36.26 = 23.77 : x
  2. Step 2: Convert to fraction form
    24.31/36.26 = 23.77/x
  3. Step 3: Cross multiply
    24.31x = 36.26 × 23.77
  4. Step 4: Simplify right side
    24.31x = 861.90
  5. Step 5: Solve for x
    x = 861.90/24.31
  6. Step 6: Final answer
    x = 35.45

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1.5x scale

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.