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Finding the Fourth Proportional to 97.74, 134.84 and 56.30

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Solution

The fourth proportional to 97.74, 134.84 and 56.30 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.74 : 134.84 = 56.30 : x
  2. Step 2: Convert to fraction form
    97.74/134.84 = 56.30/x
  3. Step 3: Cross multiply
    97.74x = 134.84 × 56.30
  4. Step 4: Simplify right side
    97.74x = 7,590.96
  5. Step 5: Solve for x
    x = 7,590.96/97.74
  6. Step 6: Final answer
    x = 77.66

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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.