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Finding the Fourth Proportional to 92.99, 139.49 and 56.84

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Solution

The fourth proportional to 92.99, 139.49 and 56.84 is: 85.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.99 : 139.49 = 56.84 : x
  2. Step 2: Convert to fraction form
    92.99/139.49 = 56.84/x
  3. Step 3: Cross multiply
    92.99x = 139.49 × 56.84
  4. Step 4: Simplify right side
    92.99x = 7,928.61
  5. Step 5: Solve for x
    x = 7,928.61/92.99
  6. Step 6: Final answer
    x = 85.26

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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.