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Finding the Fourth Proportional to 75.30, 103.84 and 53.14

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Solution

The fourth proportional to 75.30, 103.84 and 53.14 is: 73.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.30 : 103.84 = 53.14 : x
  2. Step 2: Convert to fraction form
    75.30/103.84 = 53.14/x
  3. Step 3: Cross multiply
    75.30x = 103.84 × 53.14
  4. Step 4: Simplify right side
    75.30x = 5,518.06
  5. Step 5: Solve for x
    x = 5,518.06/75.30
  6. Step 6: Final answer
    x = 73.28

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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.