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Finding the Fourth Proportional to 87.51, 120.75 and 70.17

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Solution

The fourth proportional to 87.51, 120.75 and 70.17 is: 96.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.51 : 120.75 = 70.17 : x
  2. Step 2: Convert to fraction form
    87.51/120.75 = 70.17/x
  3. Step 3: Cross multiply
    87.51x = 120.75 × 70.17
  4. Step 4: Simplify right side
    87.51x = 8,473.03
  5. Step 5: Solve for x
    x = 8,473.03/87.51
  6. Step 6: Final answer
    x = 96.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.