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Finding the Fourth Proportional to 153.87, 230.55 and 108.14

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Solution

The fourth proportional to 153.87, 230.55 and 108.14 is: 162.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 230.55 = 108.14 : x
  2. Step 2: Convert to fraction form
    153.87/230.55 = 108.14/x
  3. Step 3: Cross multiply
    153.87x = 230.55 × 108.14
  4. Step 4: Simplify right side
    153.87x = 24,931.19
  5. Step 5: Solve for x
    x = 24,931.19/153.87
  6. Step 6: Final answer
    x = 162.03

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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.