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Finding the Fourth Proportional to 95.41, 131.66 and 53.40

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Solution

The fourth proportional to 95.41, 131.66 and 53.40 is: 73.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.41 : 131.66 = 53.40 : x
  2. Step 2: Convert to fraction form
    95.41/131.66 = 53.40/x
  3. Step 3: Cross multiply
    95.41x = 131.66 × 53.40
  4. Step 4: Simplify right side
    95.41x = 7,029.99
  5. Step 5: Solve for x
    x = 7,029.99/95.41
  6. Step 6: Final answer
    x = 73.69

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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.