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Finding the Fourth Proportional to 26.86, 40.51 and 24.64

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Solution

The fourth proportional to 26.86, 40.51 and 24.64 is: 37.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.86 : 40.51 = 24.64 : x
  2. Step 2: Convert to fraction form
    26.86/40.51 = 24.64/x
  3. Step 3: Cross multiply
    26.86x = 40.51 × 24.64
  4. Step 4: Simplify right side
    26.86x = 998.17
  5. Step 5: Solve for x
    x = 998.17/26.86
  6. Step 6: Final answer
    x = 37.16

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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.