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Finding the Fourth Proportional to 56.13, 77.40 and 46.41

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Solution

The fourth proportional to 56.13, 77.40 and 46.41 is: 64.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.13 : 77.40 = 46.41 : x
  2. Step 2: Convert to fraction form
    56.13/77.40 = 46.41/x
  3. Step 3: Cross multiply
    56.13x = 77.40 × 46.41
  4. Step 4: Simplify right side
    56.13x = 3,592.13
  5. Step 5: Solve for x
    x = 3,592.13/56.13
  6. Step 6: Final answer
    x = 64.00

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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.