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Finding the Fourth Proportional to 90.32, 134.64 and 85.64

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Solution

The fourth proportional to 90.32, 134.64 and 85.64 is: 127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.32 : 134.64 = 85.64 : x
  2. Step 2: Convert to fraction form
    90.32/134.64 = 85.64/x
  3. Step 3: Cross multiply
    90.32x = 134.64 × 85.64
  4. Step 4: Simplify right side
    90.32x = 11,530.57
  5. Step 5: Solve for x
    x = 11,530.57/90.32
  6. Step 6: Final answer
    x = 127.66

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Why These Related Problems?

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