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Finding the Fourth Proportional to 61.85, 85.16 and 48.02

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Solution

The fourth proportional to 61.85, 85.16 and 48.02 is: 66.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.85 : 85.16 = 48.02 : x
  2. Step 2: Convert to fraction form
    61.85/85.16 = 48.02/x
  3. Step 3: Cross multiply
    61.85x = 85.16 × 48.02
  4. Step 4: Simplify right side
    61.85x = 4,089.08
  5. Step 5: Solve for x
    x = 4,089.08/61.85
  6. Step 6: Final answer
    x = 66.11

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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.