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Finding the Fourth Proportional to 75.09, 103.65 and 46.00

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Solution

The fourth proportional to 75.09, 103.65 and 46.00 is: 63.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 103.65 = 46.00 : x
  2. Step 2: Convert to fraction form
    75.09/103.65 = 46.00/x
  3. Step 3: Cross multiply
    75.09x = 103.65 × 46.00
  4. Step 4: Simplify right side
    75.09x = 4,767.86
  5. Step 5: Solve for x
    x = 4,767.86/75.09
  6. Step 6: Final answer
    x = 63.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.