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Finding the Fourth Proportional to 153.23, 229.87 and 62

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Solution

The fourth proportional to 153.23, 229.87 and 62 is: 93.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 229.87 = 62 : x
  2. Step 2: Convert to fraction form
    153.23/229.87 = 62/x
  3. Step 3: Cross multiply
    153.23x = 229.87 × 62
  4. Step 4: Simplify right side
    153.23x = 14,251.94
  5. Step 5: Solve for x
    x = 14,251.94/153.23
  6. Step 6: Final answer
    x = 93.01

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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.