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Finding the Fourth Proportional to 57.02, 78.60 and 52.50

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Solution

The fourth proportional to 57.02, 78.60 and 52.50 is: 72.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.02 : 78.60 = 52.50 : x
  2. Step 2: Convert to fraction form
    57.02/78.60 = 52.50/x
  3. Step 3: Cross multiply
    57.02x = 78.60 × 52.50
  4. Step 4: Simplify right side
    57.02x = 4,126.50
  5. Step 5: Solve for x
    x = 4,126.50/57.02
  6. Step 6: Final answer
    x = 72.37

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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.