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Finding the Fourth Proportional to 117.66, 162.34 and 74.05

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Solution

The fourth proportional to 117.66, 162.34 and 74.05 is: 102.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.66 : 162.34 = 74.05 : x
  2. Step 2: Convert to fraction form
    117.66/162.34 = 74.05/x
  3. Step 3: Cross multiply
    117.66x = 162.34 × 74.05
  4. Step 4: Simplify right side
    117.66x = 12,021.28
  5. Step 5: Solve for x
    x = 12,021.28/117.66
  6. Step 6: Final answer
    x = 102.17

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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.