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Finding the Fourth Proportional to 301.48, 452.14 and 106.45

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Solution

The fourth proportional to 301.48, 452.14 and 106.45 is: 159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.48 : 452.14 = 106.45 : x
  2. Step 2: Convert to fraction form
    301.48/452.14 = 106.45/x
  3. Step 3: Cross multiply
    301.48x = 452.14 × 106.45
  4. Step 4: Simplify right side
    301.48x = 48,128.91
  5. Step 5: Solve for x
    x = 48,128.91/301.48
  6. Step 6: Final answer
    x = 159.64

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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.