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Finding the Fourth Proportional to 117.31, 161.99 and 73.13

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Solution

The fourth proportional to 117.31, 161.99 and 73.13 is: 100.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.31 : 161.99 = 73.13 : x
  2. Step 2: Convert to fraction form
    117.31/161.99 = 73.13/x
  3. Step 3: Cross multiply
    117.31x = 161.99 × 73.13
  4. Step 4: Simplify right side
    117.31x = 11,846.11
  5. Step 5: Solve for x
    x = 11,846.11/117.31
  6. Step 6: Final answer
    x = 100.98

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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.