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Finding the Fourth Proportional to 60.65, 90.86 and 51.54

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Solution

The fourth proportional to 60.65, 90.86 and 51.54 is: 77.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.65 : 90.86 = 51.54 : x
  2. Step 2: Convert to fraction form
    60.65/90.86 = 51.54/x
  3. Step 3: Cross multiply
    60.65x = 90.86 × 51.54
  4. Step 4: Simplify right side
    60.65x = 4,682.33
  5. Step 5: Solve for x
    x = 4,682.33/60.65
  6. Step 6: Final answer
    x = 77.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.