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Finding the Fourth Proportional to 75.24, 103.80 and 47.64

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Solution

The fourth proportional to 75.24, 103.80 and 47.64 is: 65.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.80 = 47.64 : x
  2. Step 2: Convert to fraction form
    75.24/103.80 = 47.64/x
  3. Step 3: Cross multiply
    75.24x = 103.80 × 47.64
  4. Step 4: Simplify right side
    75.24x = 4,945.03
  5. Step 5: Solve for x
    x = 4,945.03/75.24
  6. Step 6: Final answer
    x = 65.72

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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.