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Finding the Fourth Proportional to 26.47, 39.77 and 24.93

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Solution

The fourth proportional to 26.47, 39.77 and 24.93 is: 37.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.47 : 39.77 = 24.93 : x
  2. Step 2: Convert to fraction form
    26.47/39.77 = 24.93/x
  3. Step 3: Cross multiply
    26.47x = 39.77 × 24.93
  4. Step 4: Simplify right side
    26.47x = 991.34
  5. Step 5: Solve for x
    x = 991.34/26.47
  6. Step 6: Final answer
    x = 37.46

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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.