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Finding the Fourth Proportional to 51.91, 78.03 and 48.16

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Solution

The fourth proportional to 51.91, 78.03 and 48.16 is: 72.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.91 : 78.03 = 48.16 : x
  2. Step 2: Convert to fraction form
    51.91/78.03 = 48.16/x
  3. Step 3: Cross multiply
    51.91x = 78.03 × 48.16
  4. Step 4: Simplify right side
    51.91x = 3,758.02
  5. Step 5: Solve for x
    x = 3,758.02/51.91
  6. Step 6: Final answer
    x = 72.40

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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.