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Finding the Fourth Proportional to 120.57, 180.71 and 90.06

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Solution

The fourth proportional to 120.57, 180.71 and 90.06 is: 134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.57 : 180.71 = 90.06 : x
  2. Step 2: Convert to fraction form
    120.57/180.71 = 90.06/x
  3. Step 3: Cross multiply
    120.57x = 180.71 × 90.06
  4. Step 4: Simplify right side
    120.57x = 16,274.74
  5. Step 5: Solve for x
    x = 16,274.74/120.57
  6. Step 6: Final answer
    x = 134.98

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