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Finding the Fourth Proportional to 51.89, 77.68 and 39.02

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Solution

The fourth proportional to 51.89, 77.68 and 39.02 is: 58.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.89 : 77.68 = 39.02 : x
  2. Step 2: Convert to fraction form
    51.89/77.68 = 39.02/x
  3. Step 3: Cross multiply
    51.89x = 77.68 × 39.02
  4. Step 4: Simplify right side
    51.89x = 3,030.51
  5. Step 5: Solve for x
    x = 3,030.51/51.89
  6. Step 6: Final answer
    x = 58.40

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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.