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Finding the Fourth Proportional to 117.21, 161.75 and 64.75

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Solution

The fourth proportional to 117.21, 161.75 and 64.75 is: 89.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.21 : 161.75 = 64.75 : x
  2. Step 2: Convert to fraction form
    117.21/161.75 = 64.75/x
  3. Step 3: Cross multiply
    117.21x = 161.75 × 64.75
  4. Step 4: Simplify right side
    117.21x = 10,473.19
  5. Step 5: Solve for x
    x = 10,473.19/117.21
  6. Step 6: Final answer
    x = 89.35

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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.