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Finding the Fourth Proportional to 52.99, 73.16 and 47.45

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Solution

The fourth proportional to 52.99, 73.16 and 47.45 is: 65.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.99 : 73.16 = 47.45 : x
  2. Step 2: Convert to fraction form
    52.99/73.16 = 47.45/x
  3. Step 3: Cross multiply
    52.99x = 73.16 × 47.45
  4. Step 4: Simplify right side
    52.99x = 3,471.57
  5. Step 5: Solve for x
    x = 3,471.57/52.99
  6. Step 6: Final answer
    x = 65.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.