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Finding the Fourth Proportional to 92.37, 138.64 and 46.75

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Solution

The fourth proportional to 92.37, 138.64 and 46.75 is: 70.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.37 : 138.64 = 46.75 : x
  2. Step 2: Convert to fraction form
    92.37/138.64 = 46.75/x
  3. Step 3: Cross multiply
    92.37x = 138.64 × 46.75
  4. Step 4: Simplify right side
    92.37x = 6,480.81
  5. Step 5: Solve for x
    x = 6,480.81/92.37
  6. Step 6: Final answer
    x = 70.16

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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.