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Finding the Fourth Proportional to 92.70, 138.75 and 62.19

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Solution

The fourth proportional to 92.70, 138.75 and 62.19 is: 93.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.70 : 138.75 = 62.19 : x
  2. Step 2: Convert to fraction form
    92.70/138.75 = 62.19/x
  3. Step 3: Cross multiply
    92.70x = 138.75 × 62.19
  4. Step 4: Simplify right side
    92.70x = 8,628.86
  5. Step 5: Solve for x
    x = 8,628.86/92.70
  6. Step 6: Final answer
    x = 93.08

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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.