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Finding the Fourth Proportional to 26.65, 40.02 and 16.52

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Solution

The fourth proportional to 26.65, 40.02 and 16.52 is: 24.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.65 : 40.02 = 16.52 : x
  2. Step 2: Convert to fraction form
    26.65/40.02 = 16.52/x
  3. Step 3: Cross multiply
    26.65x = 40.02 × 16.52
  4. Step 4: Simplify right side
    26.65x = 661.23
  5. Step 5: Solve for x
    x = 661.23/26.65
  6. Step 6: Final answer
    x = 24.81

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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.