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Finding the Fourth Proportional to 183.96, 275.95 and 47.01

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Solution

The fourth proportional to 183.96, 275.95 and 47.01 is: 70.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.96 : 275.95 = 47.01 : x
  2. Step 2: Convert to fraction form
    183.96/275.95 = 47.01/x
  3. Step 3: Cross multiply
    183.96x = 275.95 × 47.01
  4. Step 4: Simplify right side
    183.96x = 12,971.98
  5. Step 5: Solve for x
    x = 12,971.98/183.96
  6. Step 6: Final answer
    x = 70.51

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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.