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Finding the Fourth Proportional to 92.36, 138.63 and 49.08

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Solution

The fourth proportional to 92.36, 138.63 and 49.08 is: 73.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.36 : 138.63 = 49.08 : x
  2. Step 2: Convert to fraction form
    92.36/138.63 = 49.08/x
  3. Step 3: Cross multiply
    92.36x = 138.63 × 49.08
  4. Step 4: Simplify right side
    92.36x = 6,803.72
  5. Step 5: Solve for x
    x = 6,803.72/92.36
  6. Step 6: Final answer
    x = 73.67

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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.