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Finding the Fourth Proportional to 73.50, 110.26 and 56.40

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Solution

The fourth proportional to 73.50, 110.26 and 56.40 is: 84.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.50 : 110.26 = 56.40 : x
  2. Step 2: Convert to fraction form
    73.50/110.26 = 56.40/x
  3. Step 3: Cross multiply
    73.50x = 110.26 × 56.40
  4. Step 4: Simplify right side
    73.50x = 6,218.66
  5. Step 5: Solve for x
    x = 6,218.66/73.50
  6. Step 6: Final answer
    x = 84.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.