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Finding the Fourth Proportional to 117, 161.10 and 92.36

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Solution

The fourth proportional to 117, 161.10 and 92.36 is: 127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.10 = 92.36 : x
  2. Step 2: Convert to fraction form
    117/161.10 = 92.36/x
  3. Step 3: Cross multiply
    117x = 161.10 × 92.36
  4. Step 4: Simplify right side
    117x = 14,878.39
  5. Step 5: Solve for x
    x = 14,878.39/117
  6. Step 6: Final answer
    x = 127.17

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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.