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Finding the Fourth Proportional to 97.02, 144.78 and 87.84

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Solution

The fourth proportional to 97.02, 144.78 and 87.84 is: 131.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.02 : 144.78 = 87.84 : x
  2. Step 2: Convert to fraction form
    97.02/144.78 = 87.84/x
  3. Step 3: Cross multiply
    97.02x = 144.78 × 87.84
  4. Step 4: Simplify right side
    97.02x = 12,717.48
  5. Step 5: Solve for x
    x = 12,717.48/97.02
  6. Step 6: Final answer
    x = 131.08

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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.