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Finding the Fourth Proportional to 118.45, 163.19 and 107.53

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Solution

The fourth proportional to 118.45, 163.19 and 107.53 is: 148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 163.19 = 107.53 : x
  2. Step 2: Convert to fraction form
    118.45/163.19 = 107.53/x
  3. Step 3: Cross multiply
    118.45x = 163.19 × 107.53
  4. Step 4: Simplify right side
    118.45x = 17,547.00
  5. Step 5: Solve for x
    x = 17,547.00/118.45
  6. Step 6: Final answer
    x = 148.14

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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.