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Finding the Fourth Proportional to 145.96, 219 and 48.49

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Solution

The fourth proportional to 145.96, 219 and 48.49 is: 72.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.96 : 219 = 48.49 : x
  2. Step 2: Convert to fraction form
    145.96/219 = 48.49/x
  3. Step 3: Cross multiply
    145.96x = 219 × 48.49
  4. Step 4: Simplify right side
    145.96x = 10,619.31
  5. Step 5: Solve for x
    x = 10,619.31/145.96
  6. Step 6: Final answer
    x = 72.75

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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.