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Finding the Fourth Proportional to 56.70, 78.28 and 52.08

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Solution

The fourth proportional to 56.70, 78.28 and 52.08 is: 71.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.70 : 78.28 = 52.08 : x
  2. Step 2: Convert to fraction form
    56.70/78.28 = 52.08/x
  3. Step 3: Cross multiply
    56.70x = 78.28 × 52.08
  4. Step 4: Simplify right side
    56.70x = 4,076.69
  5. Step 5: Solve for x
    x = 4,076.69/56.70
  6. Step 6: Final answer
    x = 71.90

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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.