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Finding the Fourth Proportional to 75.63, 112.64 and 71.77

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Solution

The fourth proportional to 75.63, 112.64 and 71.77 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 112.64 = 71.77 : x
  2. Step 2: Convert to fraction form
    75.63/112.64 = 71.77/x
  3. Step 3: Cross multiply
    75.63x = 112.64 × 71.77
  4. Step 4: Simplify right side
    75.63x = 8,084.17
  5. Step 5: Solve for x
    x = 8,084.17/75.63
  6. Step 6: Final answer
    x = 106.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.