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Finding the Fourth Proportional to 56.04, 77.46 and 43.16

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Solution

The fourth proportional to 56.04, 77.46 and 43.16 is: 59.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.04 : 77.46 = 43.16 : x
  2. Step 2: Convert to fraction form
    56.04/77.46 = 43.16/x
  3. Step 3: Cross multiply
    56.04x = 77.46 × 43.16
  4. Step 4: Simplify right side
    56.04x = 3,343.17
  5. Step 5: Solve for x
    x = 3,343.17/56.04
  6. Step 6: Final answer
    x = 59.66

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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.