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Finding the Fourth Proportional to 117.09, 175.59 and 59.28

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Solution

The fourth proportional to 117.09, 175.59 and 59.28 is: 88.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 175.59 = 59.28 : x
  2. Step 2: Convert to fraction form
    117.09/175.59 = 59.28/x
  3. Step 3: Cross multiply
    117.09x = 175.59 × 59.28
  4. Step 4: Simplify right side
    117.09x = 10,408.98
  5. Step 5: Solve for x
    x = 10,408.98/117.09
  6. Step 6: Final answer
    x = 88.90

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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.