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Finding the Fourth Proportional to 90.86, 135.69 and 86.18

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Solution

The fourth proportional to 90.86, 135.69 and 86.18 is: 128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.86 : 135.69 = 86.18 : x
  2. Step 2: Convert to fraction form
    90.86/135.69 = 86.18/x
  3. Step 3: Cross multiply
    90.86x = 135.69 × 86.18
  4. Step 4: Simplify right side
    90.86x = 11,693.33
  5. Step 5: Solve for x
    x = 11,693.33/90.86
  6. Step 6: Final answer
    x = 128.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.