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Finding the Fourth Proportional to 122.51, 168.98 and 87.54

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Solution

The fourth proportional to 122.51, 168.98 and 87.54 is: 120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 168.98 = 87.54 : x
  2. Step 2: Convert to fraction form
    122.51/168.98 = 87.54/x
  3. Step 3: Cross multiply
    122.51x = 168.98 × 87.54
  4. Step 4: Simplify right side
    122.51x = 14,792.51
  5. Step 5: Solve for x
    x = 14,792.51/122.51
  6. Step 6: Final answer
    x = 120.75

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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.