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Finding the Fourth Proportional to 98.50, 135.86 and 77.77

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Solution

The fourth proportional to 98.50, 135.86 and 77.77 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.50 : 135.86 = 77.77 : x
  2. Step 2: Convert to fraction form
    98.50/135.86 = 77.77/x
  3. Step 3: Cross multiply
    98.50x = 135.86 × 77.77
  4. Step 4: Simplify right side
    98.50x = 10,565.10
  5. Step 5: Solve for x
    x = 10,565.10/98.50
  6. Step 6: Final answer
    x = 107.26

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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.