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Finding the Fourth Proportional to 75.17, 103.76 and 53.07

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Solution

The fourth proportional to 75.17, 103.76 and 53.07 is: 73.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.17 : 103.76 = 53.07 : x
  2. Step 2: Convert to fraction form
    75.17/103.76 = 53.07/x
  3. Step 3: Cross multiply
    75.17x = 103.76 × 53.07
  4. Step 4: Simplify right side
    75.17x = 5,506.28
  5. Step 5: Solve for x
    x = 5,506.28/75.17
  6. Step 6: Final answer
    x = 73.26

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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.