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Finding the Fourth Proportional to 102.12, 154.05 and 91.48

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Solution

The fourth proportional to 102.12, 154.05 and 91.48 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.12 : 154.05 = 91.48 : x
  2. Step 2: Convert to fraction form
    102.12/154.05 = 91.48/x
  3. Step 3: Cross multiply
    102.12x = 154.05 × 91.48
  4. Step 4: Simplify right side
    102.12x = 14,092.49
  5. Step 5: Solve for x
    x = 14,092.49/102.12
  6. Step 6: Final answer
    x = 138.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.