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Finding the Fourth Proportional to 77, 106.16 and 60.60

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Solution

The fourth proportional to 77, 106.16 and 60.60 is: 83.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77 : 106.16 = 60.60 : x
  2. Step 2: Convert to fraction form
    77/106.16 = 60.60/x
  3. Step 3: Cross multiply
    77x = 106.16 × 60.60
  4. Step 4: Simplify right side
    77x = 6,433.30
  5. Step 5: Solve for x
    x = 6,433.30/77
  6. Step 6: Final answer
    x = 83.55

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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.