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Finding the Fourth Proportional to 90.23, 135.23 and 65.86

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Solution

The fourth proportional to 90.23, 135.23 and 65.86 is: 98.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.23 : 135.23 = 65.86 : x
  2. Step 2: Convert to fraction form
    90.23/135.23 = 65.86/x
  3. Step 3: Cross multiply
    90.23x = 135.23 × 65.86
  4. Step 4: Simplify right side
    90.23x = 8,905.58
  5. Step 5: Solve for x
    x = 8,905.58/90.23
  6. Step 6: Final answer
    x = 98.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.