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Finding the Fourth Proportional to 153.23, 229.76 and 102.20

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Solution

The fourth proportional to 153.23, 229.76 and 102.20 is: 153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.23 : 229.76 = 102.20 : x
  2. Step 2: Convert to fraction form
    153.23/229.76 = 102.20/x
  3. Step 3: Cross multiply
    153.23x = 229.76 × 102.20
  4. Step 4: Simplify right side
    153.23x = 23,479.81
  5. Step 5: Solve for x
    x = 23,479.81/153.23
  6. Step 6: Final answer
    x = 153.24

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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.