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Finding the Fourth Proportional to 52.42, 72.01 and 47.70

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Solution

The fourth proportional to 52.42, 72.01 and 47.70 is: 65.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.42 : 72.01 = 47.70 : x
  2. Step 2: Convert to fraction form
    52.42/72.01 = 47.70/x
  3. Step 3: Cross multiply
    52.42x = 72.01 × 47.70
  4. Step 4: Simplify right side
    52.42x = 3,434.88
  5. Step 5: Solve for x
    x = 3,434.88/52.42
  6. Step 6: Final answer
    x = 65.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.