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Finding the Fourth Proportional to 75.58, 112.66 and 71.06

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Solution

The fourth proportional to 75.58, 112.66 and 71.06 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.58 : 112.66 = 71.06 : x
  2. Step 2: Convert to fraction form
    75.58/112.66 = 71.06/x
  3. Step 3: Cross multiply
    75.58x = 112.66 × 71.06
  4. Step 4: Simplify right side
    75.58x = 8,005.62
  5. Step 5: Solve for x
    x = 8,005.62/75.58
  6. Step 6: Final answer
    x = 105.92

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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.