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Finding the Fourth Proportional to 75.53, 112.51 and 71.39

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Solution

The fourth proportional to 75.53, 112.51 and 71.39 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 112.51 = 71.39 : x
  2. Step 2: Convert to fraction form
    75.53/112.51 = 71.39/x
  3. Step 3: Cross multiply
    75.53x = 112.51 × 71.39
  4. Step 4: Simplify right side
    75.53x = 8,032.09
  5. Step 5: Solve for x
    x = 8,032.09/75.53
  6. Step 6: Final answer
    x = 106.34

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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.