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Finding the Fourth Proportional to 90.14, 134.63 and 75.60

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Solution

The fourth proportional to 90.14, 134.63 and 75.60 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.14 : 134.63 = 75.60 : x
  2. Step 2: Convert to fraction form
    90.14/134.63 = 75.60/x
  3. Step 3: Cross multiply
    90.14x = 134.63 × 75.60
  4. Step 4: Simplify right side
    90.14x = 10,178.03
  5. Step 5: Solve for x
    x = 10,178.03/90.14
  6. Step 6: Final answer
    x = 112.91

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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.