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Finding the Fourth Proportional to 98.46, 135.71 and 68.96

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Solution

The fourth proportional to 98.46, 135.71 and 68.96 is: 95.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.46 : 135.71 = 68.96 : x
  2. Step 2: Convert to fraction form
    98.46/135.71 = 68.96/x
  3. Step 3: Cross multiply
    98.46x = 135.71 × 68.96
  4. Step 4: Simplify right side
    98.46x = 9,358.81
  5. Step 5: Solve for x
    x = 9,358.81/98.46
  6. Step 6: Final answer
    x = 95.05

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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.