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Finding the Fourth Proportional to 52.70, 78.93 and 37.42

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Solution

The fourth proportional to 52.70, 78.93 and 37.42 is: 56.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.70 : 78.93 = 37.42 : x
  2. Step 2: Convert to fraction form
    52.70/78.93 = 37.42/x
  3. Step 3: Cross multiply
    52.70x = 78.93 × 37.42
  4. Step 4: Simplify right side
    52.70x = 2,953.36
  5. Step 5: Solve for x
    x = 2,953.36/52.70
  6. Step 6: Final answer
    x = 56.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.