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Finding the Fourth Proportional to 56.16, 77.43 and 46.44

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Solution

The fourth proportional to 56.16, 77.43 and 46.44 is: 64.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.16 : 77.43 = 46.44 : x
  2. Step 2: Convert to fraction form
    56.16/77.43 = 46.44/x
  3. Step 3: Cross multiply
    56.16x = 77.43 × 46.44
  4. Step 4: Simplify right side
    56.16x = 3,595.85
  5. Step 5: Solve for x
    x = 3,595.85/56.16
  6. Step 6: Final answer
    x = 64.03

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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.