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Finding the Fourth Proportional to 90.32, 123.93 and 86.67

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Solution

The fourth proportional to 90.32, 123.93 and 86.67 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.32 : 123.93 = 86.67 : x
  2. Step 2: Convert to fraction form
    90.32/123.93 = 86.67/x
  3. Step 3: Cross multiply
    90.32x = 123.93 × 86.67
  4. Step 4: Simplify right side
    90.32x = 10,741.01
  5. Step 5: Solve for x
    x = 10,741.01/90.32
  6. Step 6: Final answer
    x = 118.93

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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.