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Finding the Fourth Proportional to 90.16, 123.66 and 87.55

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Solution

The fourth proportional to 90.16, 123.66 and 87.55 is: 120.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.16 : 123.66 = 87.55 : x
  2. Step 2: Convert to fraction form
    90.16/123.66 = 87.55/x
  3. Step 3: Cross multiply
    90.16x = 123.66 × 87.55
  4. Step 4: Simplify right side
    90.16x = 10,826.12
  5. Step 5: Solve for x
    x = 10,826.12/90.16
  6. Step 6: Final answer
    x = 120.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.