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Finding the Fourth Proportional to 117.04, 161.40 and 84.31

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Solution

The fourth proportional to 117.04, 161.40 and 84.31 is: 116.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.04 : 161.40 = 84.31 : x
  2. Step 2: Convert to fraction form
    117.04/161.40 = 84.31/x
  3. Step 3: Cross multiply
    117.04x = 161.40 × 84.31
  4. Step 4: Simplify right side
    117.04x = 13,607.63
  5. Step 5: Solve for x
    x = 13,607.63/117.04
  6. Step 6: Final answer
    x = 116.26

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