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Finding the Fourth Proportional to 75.29, 103.64 and 65.06

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Solution

The fourth proportional to 75.29, 103.64 and 65.06 is: 89.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.29 : 103.64 = 65.06 : x
  2. Step 2: Convert to fraction form
    75.29/103.64 = 65.06/x
  3. Step 3: Cross multiply
    75.29x = 103.64 × 65.06
  4. Step 4: Simplify right side
    75.29x = 6,743.24
  5. Step 5: Solve for x
    x = 6,743.24/75.29
  6. Step 6: Final answer
    x = 89.57

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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.