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Finding the Fourth Proportional to 42.88, 64.05 and 36.42

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Solution

The fourth proportional to 42.88, 64.05 and 36.42 is: 54.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.88 : 64.05 = 36.42 : x
  2. Step 2: Convert to fraction form
    42.88/64.05 = 36.42/x
  3. Step 3: Cross multiply
    42.88x = 64.05 × 36.42
  4. Step 4: Simplify right side
    42.88x = 2,332.70
  5. Step 5: Solve for x
    x = 2,332.70/42.88
  6. Step 6: Final answer
    x = 54.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.