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Finding the Fourth Proportional to 61.76, 85.24 and 42.36

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Solution

The fourth proportional to 61.76, 85.24 and 42.36 is: 58.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.24 = 42.36 : x
  2. Step 2: Convert to fraction form
    61.76/85.24 = 42.36/x
  3. Step 3: Cross multiply
    61.76x = 85.24 × 42.36
  4. Step 4: Simplify right side
    61.76x = 3,610.77
  5. Step 5: Solve for x
    x = 3,610.77/61.76
  6. Step 6: Final answer
    x = 58.46

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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.