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Finding the Fourth Proportional to 98.34, 135.70 and 77.68

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Solution

The fourth proportional to 98.34, 135.70 and 77.68 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.34 : 135.70 = 77.68 : x
  2. Step 2: Convert to fraction form
    98.34/135.70 = 77.68/x
  3. Step 3: Cross multiply
    98.34x = 135.70 × 77.68
  4. Step 4: Simplify right side
    98.34x = 10,541.75
  5. Step 5: Solve for x
    x = 10,541.75/98.34
  6. Step 6: Final answer
    x = 107.20

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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.