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Finding the Fourth Proportional to 145.74, 218.51 and 48.20

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Solution

The fourth proportional to 145.74, 218.51 and 48.20 is: 72.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.74 : 218.51 = 48.20 : x
  2. Step 2: Convert to fraction form
    145.74/218.51 = 48.20/x
  3. Step 3: Cross multiply
    145.74x = 218.51 × 48.20
  4. Step 4: Simplify right side
    145.74x = 10,532.18
  5. Step 5: Solve for x
    x = 10,532.18/145.74
  6. Step 6: Final answer
    x = 72.27

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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.