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Finding the Fourth Proportional to 75.59, 112.75 and 66.05

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Solution

The fourth proportional to 75.59, 112.75 and 66.05 is: 98.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.59 : 112.75 = 66.05 : x
  2. Step 2: Convert to fraction form
    75.59/112.75 = 66.05/x
  3. Step 3: Cross multiply
    75.59x = 112.75 × 66.05
  4. Step 4: Simplify right side
    75.59x = 7,447.14
  5. Step 5: Solve for x
    x = 7,447.14/75.59
  6. Step 6: Final answer
    x = 98.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.