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Finding the Fourth Proportional to 153.63, 230.36 and 57.45

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Solution

The fourth proportional to 153.63, 230.36 and 57.45 is: 86.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.63 : 230.36 = 57.45 : x
  2. Step 2: Convert to fraction form
    153.63/230.36 = 57.45/x
  3. Step 3: Cross multiply
    153.63x = 230.36 × 57.45
  4. Step 4: Simplify right side
    153.63x = 13,233.89
  5. Step 5: Solve for x
    x = 13,233.89/153.63
  6. Step 6: Final answer
    x = 86.14

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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.