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Finding the Fourth Proportional to 120.35, 180.65 and 98.93

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Solution

The fourth proportional to 120.35, 180.65 and 98.93 is: 148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.35 : 180.65 = 98.93 : x
  2. Step 2: Convert to fraction form
    120.35/180.65 = 98.93/x
  3. Step 3: Cross multiply
    120.35x = 180.65 × 98.93
  4. Step 4: Simplify right side
    120.35x = 17,870.31
  5. Step 5: Solve for x
    x = 17,870.31/120.35
  6. Step 6: Final answer
    x = 148.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.