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Finding the Fourth Proportional to 29.87, 45.11 and 29.87

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Solution

The fourth proportional to 29.87, 45.11 and 29.87 is: 45.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.87 : 45.11 = 29.87 : x
  2. Step 2: Convert to fraction form
    29.87/45.11 = 29.87/x
  3. Step 3: Cross multiply
    29.87x = 45.11 × 29.87
  4. Step 4: Simplify right side
    29.87x = 1,347.45
  5. Step 5: Solve for x
    x = 1,347.45/29.87
  6. Step 6: Final answer
    x = 45.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.