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Finding the Fourth Proportional to 97.68, 134.80 and 56.22

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Solution

The fourth proportional to 97.68, 134.80 and 56.22 is: 77.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.68 : 134.80 = 56.22 : x
  2. Step 2: Convert to fraction form
    97.68/134.80 = 56.22/x
  3. Step 3: Cross multiply
    97.68x = 134.80 × 56.22
  4. Step 4: Simplify right side
    97.68x = 7,578.46
  5. Step 5: Solve for x
    x = 7,578.46/97.68
  6. Step 6: Final answer
    x = 77.58

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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.