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Finding the Fourth Proportional to 117, 175.46 and 59.22

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Solution

The fourth proportional to 117, 175.46 and 59.22 is: 88.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 175.46 = 59.22 : x
  2. Step 2: Convert to fraction form
    117/175.46 = 59.22/x
  3. Step 3: Cross multiply
    117x = 175.46 × 59.22
  4. Step 4: Simplify right side
    117x = 10,390.45
  5. Step 5: Solve for x
    x = 10,390.45/117
  6. Step 6: Final answer
    x = 88.81

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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.