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Finding the Fourth Proportional to 364, 546 and 107.52

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Solution

The fourth proportional to 364, 546 and 107.52 is: 161.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    364 : 546 = 107.52 : x
  2. Step 2: Convert to fraction form
    364/546 = 107.52/x
  3. Step 3: Cross multiply
    364x = 546 × 107.52
  4. Step 4: Simplify right side
    364x = 58,705.92
  5. Step 5: Solve for x
    x = 58,705.92/364
  6. Step 6: Final answer
    x = 161.28

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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.