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Finding the Fourth Proportional to 117.16, 175.38 and 102.67

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Solution

The fourth proportional to 117.16, 175.38 and 102.67 is: 153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.16 : 175.38 = 102.67 : x
  2. Step 2: Convert to fraction form
    117.16/175.38 = 102.67/x
  3. Step 3: Cross multiply
    117.16x = 175.38 × 102.67
  4. Step 4: Simplify right side
    117.16x = 18,006.26
  5. Step 5: Solve for x
    x = 18,006.26/117.16
  6. Step 6: Final answer
    x = 153.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.