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Finding the Fourth Proportional to 60.85, 90.77 and 56.48

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Solution

The fourth proportional to 60.85, 90.77 and 56.48 is: 84.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.85 : 90.77 = 56.48 : x
  2. Step 2: Convert to fraction form
    60.85/90.77 = 56.48/x
  3. Step 3: Cross multiply
    60.85x = 90.77 × 56.48
  4. Step 4: Simplify right side
    60.85x = 5,126.69
  5. Step 5: Solve for x
    x = 5,126.69/60.85
  6. Step 6: Final answer
    x = 84.26

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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.