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Finding the Fourth Proportional to 75.33, 112.47 and 63.02

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Solution

The fourth proportional to 75.33, 112.47 and 63.02 is: 94.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.33 : 112.47 = 63.02 : x
  2. Step 2: Convert to fraction form
    75.33/112.47 = 63.02/x
  3. Step 3: Cross multiply
    75.33x = 112.47 × 63.02
  4. Step 4: Simplify right side
    75.33x = 7,087.86
  5. Step 5: Solve for x
    x = 7,087.86/75.33
  6. Step 6: Final answer
    x = 94.09

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