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Finding the Fourth Proportional to 32.70, 48.96 and 22.50

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Solution

The fourth proportional to 32.70, 48.96 and 22.50 is: 33.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.70 : 48.96 = 22.50 : x
  2. Step 2: Convert to fraction form
    32.70/48.96 = 22.50/x
  3. Step 3: Cross multiply
    32.70x = 48.96 × 22.50
  4. Step 4: Simplify right side
    32.70x = 1,101.60
  5. Step 5: Solve for x
    x = 1,101.60/32.70
  6. Step 6: Final answer
    x = 33.69

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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.