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Finding the Fourth Proportional to 62.25, 93.32 and 31.80

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Solution

The fourth proportional to 62.25, 93.32 and 31.80 is: 47.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.25 : 93.32 = 31.80 : x
  2. Step 2: Convert to fraction form
    62.25/93.32 = 31.80/x
  3. Step 3: Cross multiply
    62.25x = 93.32 × 31.80
  4. Step 4: Simplify right side
    62.25x = 2,967.58
  5. Step 5: Solve for x
    x = 2,967.58/62.25
  6. Step 6: Final answer
    x = 47.67

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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.