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Finding the Fourth Proportional to 75.99, 113.78 and 55.74

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Solution

The fourth proportional to 75.99, 113.78 and 55.74 is: 83.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.99 : 113.78 = 55.74 : x
  2. Step 2: Convert to fraction form
    75.99/113.78 = 55.74/x
  3. Step 3: Cross multiply
    75.99x = 113.78 × 55.74
  4. Step 4: Simplify right side
    75.99x = 6,341.25
  5. Step 5: Solve for x
    x = 6,341.25/75.99
  6. Step 6: Final answer
    x = 83.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.