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Finding the Fourth Proportional to 75.33, 113.55 and 70.93

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Solution

The fourth proportional to 75.33, 113.55 and 70.93 is: 106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.33 : 113.55 = 70.93 : x
  2. Step 2: Convert to fraction form
    75.33/113.55 = 70.93/x
  3. Step 3: Cross multiply
    75.33x = 113.55 × 70.93
  4. Step 4: Simplify right side
    75.33x = 8,053.74
  5. Step 5: Solve for x
    x = 8,053.74/75.33
  6. Step 6: Final answer
    x = 106.91

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