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Finding the Fourth Proportional to 75.76, 103.93 and 71.10

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Solution

The fourth proportional to 75.76, 103.93 and 71.10 is: 97.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.76 : 103.93 = 71.10 : x
  2. Step 2: Convert to fraction form
    75.76/103.93 = 71.10/x
  3. Step 3: Cross multiply
    75.76x = 103.93 × 71.10
  4. Step 4: Simplify right side
    75.76x = 7,389.25
  5. Step 5: Solve for x
    x = 7,389.25/75.76
  6. Step 6: Final answer
    x = 97.54

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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.