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Finding the Fourth Proportional to 42.66, 63.69 and 35.82

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Solution

The fourth proportional to 42.66, 63.69 and 35.82 is: 53.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.66 : 63.69 = 35.82 : x
  2. Step 2: Convert to fraction form
    42.66/63.69 = 35.82/x
  3. Step 3: Cross multiply
    42.66x = 63.69 × 35.82
  4. Step 4: Simplify right side
    42.66x = 2,281.38
  5. Step 5: Solve for x
    x = 2,281.38/42.66
  6. Step 6: Final answer
    x = 53.48

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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.