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Finding the Fourth Proportional to 107.18, 159.85 and 98.34

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Solution

The fourth proportional to 107.18, 159.85 and 98.34 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.18 : 159.85 = 98.34 : x
  2. Step 2: Convert to fraction form
    107.18/159.85 = 98.34/x
  3. Step 3: Cross multiply
    107.18x = 159.85 × 98.34
  4. Step 4: Simplify right side
    107.18x = 15,719.65
  5. Step 5: Solve for x
    x = 15,719.65/107.18
  6. Step 6: Final answer
    x = 146.67

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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.