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Finding the Fourth Proportional to 97.84, 135.02 and 54.18

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Solution

The fourth proportional to 97.84, 135.02 and 54.18 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 135.02 = 54.18 : x
  2. Step 2: Convert to fraction form
    97.84/135.02 = 54.18/x
  3. Step 3: Cross multiply
    97.84x = 135.02 × 54.18
  4. Step 4: Simplify right side
    97.84x = 7,315.52
  5. Step 5: Solve for x
    x = 7,315.52/97.84
  6. Step 6: Final answer
    x = 74.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.