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Finding the Fourth Proportional to 56.22, 77.61 and 46.50

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Solution

The fourth proportional to 56.22, 77.61 and 46.50 is: 64.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.22 : 77.61 = 46.50 : x
  2. Step 2: Convert to fraction form
    56.22/77.61 = 46.50/x
  3. Step 3: Cross multiply
    56.22x = 77.61 × 46.50
  4. Step 4: Simplify right side
    56.22x = 3,608.87
  5. Step 5: Solve for x
    x = 3,608.87/56.22
  6. Step 6: Final answer
    x = 64.19

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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.