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Finding the Fourth Proportional to 90.46, 124.83 and 51.66

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Solution

The fourth proportional to 90.46, 124.83 and 51.66 is: 71.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.46 : 124.83 = 51.66 : x
  2. Step 2: Convert to fraction form
    90.46/124.83 = 51.66/x
  3. Step 3: Cross multiply
    90.46x = 124.83 × 51.66
  4. Step 4: Simplify right side
    90.46x = 6,448.72
  5. Step 5: Solve for x
    x = 6,448.72/90.46
  6. Step 6: Final answer
    x = 71.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.