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Finding the Fourth Proportional to 45.07, 67.64 and 24.77

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Solution

The fourth proportional to 45.07, 67.64 and 24.77 is: 37.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.07 : 67.64 = 24.77 : x
  2. Step 2: Convert to fraction form
    45.07/67.64 = 24.77/x
  3. Step 3: Cross multiply
    45.07x = 67.64 × 24.77
  4. Step 4: Simplify right side
    45.07x = 1,675.49
  5. Step 5: Solve for x
    x = 1,675.49/45.07
  6. Step 6: Final answer
    x = 37.18

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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.