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Finding the Fourth Proportional to 75.51, 103.64 and 75.51

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Solution

The fourth proportional to 75.51, 103.64 and 75.51 is: 103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.51 : 103.64 = 75.51 : x
  2. Step 2: Convert to fraction form
    75.51/103.64 = 75.51/x
  3. Step 3: Cross multiply
    75.51x = 103.64 × 75.51
  4. Step 4: Simplify right side
    75.51x = 7,825.48
  5. Step 5: Solve for x
    x = 7,825.48/75.51
  6. Step 6: Final answer
    x = 103.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.