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Finding the Fourth Proportional to 92.19, 138 and 56.19

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Solution

The fourth proportional to 92.19, 138 and 56.19 is: 84.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.19 : 138 = 56.19 : x
  2. Step 2: Convert to fraction form
    92.19/138 = 56.19/x
  3. Step 3: Cross multiply
    92.19x = 138 × 56.19
  4. Step 4: Simplify right side
    92.19x = 7,754.22
  5. Step 5: Solve for x
    x = 7,754.22/92.19
  6. Step 6: Final answer
    x = 84.11

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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.