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Finding the Fourth Proportional to 75.02, 111.76 and 71.51

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Solution

The fourth proportional to 75.02, 111.76 and 71.51 is: 106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 111.76 = 71.51 : x
  2. Step 2: Convert to fraction form
    75.02/111.76 = 71.51/x
  3. Step 3: Cross multiply
    75.02x = 111.76 × 71.51
  4. Step 4: Simplify right side
    75.02x = 7,991.96
  5. Step 5: Solve for x
    x = 7,991.96/75.02
  6. Step 6: Final answer
    x = 106.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.