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Finding the Fourth Proportional to 117, 175.50 and 31.50

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Solution

The fourth proportional to 117, 175.50 and 31.50 is: 47.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 175.50 = 31.50 : x
  2. Step 2: Convert to fraction form
    117/175.50 = 31.50/x
  3. Step 3: Cross multiply
    117x = 175.50 × 31.50
  4. Step 4: Simplify right side
    117x = 5,528.25
  5. Step 5: Solve for x
    x = 5,528.25/117
  6. Step 6: Final answer
    x = 47.25

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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.