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Finding the Fourth Proportional to 117.15, 175.47 and 102.09

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Solution

The fourth proportional to 117.15, 175.47 and 102.09 is: 152.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.15 : 175.47 = 102.09 : x
  2. Step 2: Convert to fraction form
    117.15/175.47 = 102.09/x
  3. Step 3: Cross multiply
    117.15x = 175.47 × 102.09
  4. Step 4: Simplify right side
    117.15x = 17,913.73
  5. Step 5: Solve for x
    x = 17,913.73/117.15
  6. Step 6: Final answer
    x = 152.91

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Why These Related Problems?

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