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Finding the Fourth Proportional to 52.91, 72.64 and 48.05

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Solution

The fourth proportional to 52.91, 72.64 and 48.05 is: 65.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.91 : 72.64 = 48.05 : x
  2. Step 2: Convert to fraction form
    52.91/72.64 = 48.05/x
  3. Step 3: Cross multiply
    52.91x = 72.64 × 48.05
  4. Step 4: Simplify right side
    52.91x = 3,490.35
  5. Step 5: Solve for x
    x = 3,490.35/52.91
  6. Step 6: Final answer
    x = 65.97

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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.