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Finding the Fourth Proportional to 117.19, 175.78 and 53.06

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Solution

The fourth proportional to 117.19, 175.78 and 53.06 is: 79.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.19 : 175.78 = 53.06 : x
  2. Step 2: Convert to fraction form
    117.19/175.78 = 53.06/x
  3. Step 3: Cross multiply
    117.19x = 175.78 × 53.06
  4. Step 4: Simplify right side
    117.19x = 9,327.39
  5. Step 5: Solve for x
    x = 9,327.39/117.19
  6. Step 6: Final answer
    x = 79.59

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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.