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Finding the Fourth Proportional to 86.95, 120 and 51.98

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Solution

The fourth proportional to 86.95, 120 and 51.98 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.95 : 120 = 51.98 : x
  2. Step 2: Convert to fraction form
    86.95/120 = 51.98/x
  3. Step 3: Cross multiply
    86.95x = 120 × 51.98
  4. Step 4: Simplify right side
    86.95x = 6,237.60
  5. Step 5: Solve for x
    x = 6,237.60/86.95
  6. Step 6: Final answer
    x = 71.74

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Why These Related Problems?

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