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Finding the Fourth Proportional to 30.48, 45.68 and 22.80

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Solution

The fourth proportional to 30.48, 45.68 and 22.80 is: 34.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.48 : 45.68 = 22.80 : x
  2. Step 2: Convert to fraction form
    30.48/45.68 = 22.80/x
  3. Step 3: Cross multiply
    30.48x = 45.68 × 22.80
  4. Step 4: Simplify right side
    30.48x = 1,041.50
  5. Step 5: Solve for x
    x = 1,041.50/30.48
  6. Step 6: Final answer
    x = 34.17

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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.