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Finding the Fourth Proportional to 75.04, 103.58 and 51.76

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Solution

The fourth proportional to 75.04, 103.58 and 51.76 is: 71.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.04 : 103.58 = 51.76 : x
  2. Step 2: Convert to fraction form
    75.04/103.58 = 51.76/x
  3. Step 3: Cross multiply
    75.04x = 103.58 × 51.76
  4. Step 4: Simplify right side
    75.04x = 5,361.30
  5. Step 5: Solve for x
    x = 5,361.30/75.04
  6. Step 6: Final answer
    x = 71.45

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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.