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Finding the Fourth Proportional to 384, 575.91 and 110.01

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Solution

The fourth proportional to 384, 575.91 and 110.01 is: 164.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384 : 575.91 = 110.01 : x
  2. Step 2: Convert to fraction form
    384/575.91 = 110.01/x
  3. Step 3: Cross multiply
    384x = 575.91 × 110.01
  4. Step 4: Simplify right side
    384x = 63,355.86
  5. Step 5: Solve for x
    x = 63,355.86/384
  6. Step 6: Final answer
    x = 164.99

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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.