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Finding the Fourth Proportional to 90.57, 135.64 and 77.01

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Solution

The fourth proportional to 90.57, 135.64 and 77.01 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.57 : 135.64 = 77.01 : x
  2. Step 2: Convert to fraction form
    90.57/135.64 = 77.01/x
  3. Step 3: Cross multiply
    90.57x = 135.64 × 77.01
  4. Step 4: Simplify right side
    90.57x = 10,445.64
  5. Step 5: Solve for x
    x = 10,445.64/90.57
  6. Step 6: Final answer
    x = 115.33

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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.