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Finding the Fourth Proportional to 74.88, 112.34 and 56.63

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Solution

The fourth proportional to 74.88, 112.34 and 56.63 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.88 : 112.34 = 56.63 : x
  2. Step 2: Convert to fraction form
    74.88/112.34 = 56.63/x
  3. Step 3: Cross multiply
    74.88x = 112.34 × 56.63
  4. Step 4: Simplify right side
    74.88x = 6,361.81
  5. Step 5: Solve for x
    x = 6,361.81/74.88
  6. Step 6: Final answer
    x = 84.96

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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.