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Finding the Fourth Proportional to 98.59, 135.98 and 77.83

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Solution

The fourth proportional to 98.59, 135.98 and 77.83 is: 107.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.59 : 135.98 = 77.83 : x
  2. Step 2: Convert to fraction form
    98.59/135.98 = 77.83/x
  3. Step 3: Cross multiply
    98.59x = 135.98 × 77.83
  4. Step 4: Simplify right side
    98.59x = 10,582.89
  5. Step 5: Solve for x
    x = 10,582.89/98.59
  6. Step 6: Final answer
    x = 107.34

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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.