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Finding the Fourth Proportional to 56.46, 77.70 and 40.05

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Solution

The fourth proportional to 56.46, 77.70 and 40.05 is: 55.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 77.70 = 40.05 : x
  2. Step 2: Convert to fraction form
    56.46/77.70 = 40.05/x
  3. Step 3: Cross multiply
    56.46x = 77.70 × 40.05
  4. Step 4: Simplify right side
    56.46x = 3,111.89
  5. Step 5: Solve for x
    x = 3,111.89/56.46
  6. Step 6: Final answer
    x = 55.12

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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.