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Finding the Fourth Proportional to 153.63, 230.40 and 57.42

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Solution

The fourth proportional to 153.63, 230.40 and 57.42 is: 86.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 230.40 = 57.42 : x
  2. Step 2: Convert to fraction form
    153.63/230.40 = 57.42/x
  3. Step 3: Cross multiply
    153.63x = 230.40 × 57.42
  4. Step 4: Simplify right side
    153.63x = 13,229.57
  5. Step 5: Solve for x
    x = 13,229.57/153.63
  6. Step 6: Final answer
    x = 86.11

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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.