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Finding the Fourth Proportional to 73.94, 110.27 and 58.66

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Solution

The fourth proportional to 73.94, 110.27 and 58.66 is: 87.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.94 : 110.27 = 58.66 : x
  2. Step 2: Convert to fraction form
    73.94/110.27 = 58.66/x
  3. Step 3: Cross multiply
    73.94x = 110.27 × 58.66
  4. Step 4: Simplify right side
    73.94x = 6,468.31
  5. Step 5: Solve for x
    x = 6,468.31/73.94
  6. Step 6: Final answer
    x = 87.49

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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.