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Finding the Fourth Proportional to 116.78, 160.94 and 98.01

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Solution

The fourth proportional to 116.78, 160.94 and 98.01 is: 135.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.78 : 160.94 = 98.01 : x
  2. Step 2: Convert to fraction form
    116.78/160.94 = 98.01/x
  3. Step 3: Cross multiply
    116.78x = 160.94 × 98.01
  4. Step 4: Simplify right side
    116.78x = 15,773.24
  5. Step 5: Solve for x
    x = 15,773.24/116.78
  6. Step 6: Final answer
    x = 135.07

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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.