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Finding the Fourth Proportional to 61.88, 85.39 and 36.02

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Solution

The fourth proportional to 61.88, 85.39 and 36.02 is: 49.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.88 : 85.39 = 36.02 : x
  2. Step 2: Convert to fraction form
    61.88/85.39 = 36.02/x
  3. Step 3: Cross multiply
    61.88x = 85.39 × 36.02
  4. Step 4: Simplify right side
    61.88x = 3,075.23
  5. Step 5: Solve for x
    x = 3,075.23/61.88
  6. Step 6: Final answer
    x = 49.70

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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.