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Finding the Fourth Proportional to 97.84, 135.06 and 56.43

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Solution

The fourth proportional to 97.84, 135.06 and 56.43 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 135.06 = 56.43 : x
  2. Step 2: Convert to fraction form
    97.84/135.06 = 56.43/x
  3. Step 3: Cross multiply
    97.84x = 135.06 × 56.43
  4. Step 4: Simplify right side
    97.84x = 7,621.38
  5. Step 5: Solve for x
    x = 7,621.38/97.84
  6. Step 6: Final answer
    x = 77.90

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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.