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Finding the Fourth Proportional to 117.46, 175.28 and 102.22

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Solution

The fourth proportional to 117.46, 175.28 and 102.22 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.46 : 175.28 = 102.22 : x
  2. Step 2: Convert to fraction form
    117.46/175.28 = 102.22/x
  3. Step 3: Cross multiply
    117.46x = 175.28 × 102.22
  4. Step 4: Simplify right side
    117.46x = 17,917.12
  5. Step 5: Solve for x
    x = 17,917.12/117.46
  6. Step 6: Final answer
    x = 152.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.