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Finding the Fourth Proportional to 117.24, 161.52 and 88.08

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Solution

The fourth proportional to 117.24, 161.52 and 88.08 is: 121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.52 = 88.08 : x
  2. Step 2: Convert to fraction form
    117.24/161.52 = 88.08/x
  3. Step 3: Cross multiply
    117.24x = 161.52 × 88.08
  4. Step 4: Simplify right side
    117.24x = 14,226.68
  5. Step 5: Solve for x
    x = 14,226.68/117.24
  6. Step 6: Final answer
    x = 121.35

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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.