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Finding the Fourth Proportional to 102.24, 152.62 and 90.09

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Solution

The fourth proportional to 102.24, 152.62 and 90.09 is: 134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 152.62 = 90.09 : x
  2. Step 2: Convert to fraction form
    102.24/152.62 = 90.09/x
  3. Step 3: Cross multiply
    102.24x = 152.62 × 90.09
  4. Step 4: Simplify right side
    102.24x = 13,749.54
  5. Step 5: Solve for x
    x = 13,749.54/102.24
  6. Step 6: Final answer
    x = 134.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.