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Finding the Fourth Proportional to 60.50, 90.34 and 53.66

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Solution

The fourth proportional to 60.50, 90.34 and 53.66 is: 80.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.50 : 90.34 = 53.66 : x
  2. Step 2: Convert to fraction form
    60.50/90.34 = 53.66/x
  3. Step 3: Cross multiply
    60.50x = 90.34 × 53.66
  4. Step 4: Simplify right side
    60.50x = 4,847.64
  5. Step 5: Solve for x
    x = 4,847.64/60.50
  6. Step 6: Final answer
    x = 80.13

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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.