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Finding the Fourth Proportional to 75.87, 114.48 and 74.93

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Solution

The fourth proportional to 75.87, 114.48 and 74.93 is: 113.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.87 : 114.48 = 74.93 : x
  2. Step 2: Convert to fraction form
    75.87/114.48 = 74.93/x
  3. Step 3: Cross multiply
    75.87x = 114.48 × 74.93
  4. Step 4: Simplify right side
    75.87x = 8,577.41
  5. Step 5: Solve for x
    x = 8,577.41/75.87
  6. Step 6: Final answer
    x = 113.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.