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Finding the Fourth Proportional to 97.84, 134.86 and 92.37

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Solution

The fourth proportional to 97.84, 134.86 and 92.37 is: 127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.84 : 134.86 = 92.37 : x
  2. Step 2: Convert to fraction form
    97.84/134.86 = 92.37/x
  3. Step 3: Cross multiply
    97.84x = 134.86 × 92.37
  4. Step 4: Simplify right side
    97.84x = 12,457.36
  5. Step 5: Solve for x
    x = 12,457.36/97.84
  6. Step 6: Final answer
    x = 127.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.