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Finding the Fourth Proportional to 102.24, 153 and 90.24

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Solution

The fourth proportional to 102.24, 153 and 90.24 is: 135.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 153 = 90.24 : x
  2. Step 2: Convert to fraction form
    102.24/153 = 90.24/x
  3. Step 3: Cross multiply
    102.24x = 153 × 90.24
  4. Step 4: Simplify right side
    102.24x = 13,806.72
  5. Step 5: Solve for x
    x = 13,806.72/102.24
  6. Step 6: Final answer
    x = 135.04

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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.