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Finding the Fourth Proportional to 26.65, 40.02 and 24.37

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Solution

The fourth proportional to 26.65, 40.02 and 24.37 is: 36.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.65 : 40.02 = 24.37 : x
  2. Step 2: Convert to fraction form
    26.65/40.02 = 24.37/x
  3. Step 3: Cross multiply
    26.65x = 40.02 × 24.37
  4. Step 4: Simplify right side
    26.65x = 975.29
  5. Step 5: Solve for x
    x = 975.29/26.65
  6. Step 6: Final answer
    x = 36.60

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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.