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Finding the Fourth Proportional to 40.49, 55.88 and 26.47

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Solution

The fourth proportional to 40.49, 55.88 and 26.47 is: 36.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.49 : 55.88 = 26.47 : x
  2. Step 2: Convert to fraction form
    40.49/55.88 = 26.47/x
  3. Step 3: Cross multiply
    40.49x = 55.88 × 26.47
  4. Step 4: Simplify right side
    40.49x = 1,479.14
  5. Step 5: Solve for x
    x = 1,479.14/40.49
  6. Step 6: Final answer
    x = 36.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.