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Finding the Fourth Proportional to 102.37, 152.84 and 92.13

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Solution

The fourth proportional to 102.37, 152.84 and 92.13 is: 137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.37 : 152.84 = 92.13 : x
  2. Step 2: Convert to fraction form
    102.37/152.84 = 92.13/x
  3. Step 3: Cross multiply
    102.37x = 152.84 × 92.13
  4. Step 4: Simplify right side
    102.37x = 14,080.54
  5. Step 5: Solve for x
    x = 14,080.54/102.37
  6. Step 6: Final answer
    x = 137.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.