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Finding the Fourth Proportional to 107.40, 159.99 and 98.04

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Solution

The fourth proportional to 107.40, 159.99 and 98.04 is: 146.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.40 : 159.99 = 98.04 : x
  2. Step 2: Convert to fraction form
    107.40/159.99 = 98.04/x
  3. Step 3: Cross multiply
    107.40x = 159.99 × 98.04
  4. Step 4: Simplify right side
    107.40x = 15,685.42
  5. Step 5: Solve for x
    x = 15,685.42/107.40
  6. Step 6: Final answer
    x = 146.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.