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Finding the Fourth Proportional to 57.93, 86.47 and 51.84

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Solution

The fourth proportional to 57.93, 86.47 and 51.84 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.93 : 86.47 = 51.84 : x
  2. Step 2: Convert to fraction form
    57.93/86.47 = 51.84/x
  3. Step 3: Cross multiply
    57.93x = 86.47 × 51.84
  4. Step 4: Simplify right side
    57.93x = 4,482.48
  5. Step 5: Solve for x
    x = 4,482.48/57.93
  6. Step 6: Final answer
    x = 77.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.