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Finding the Fourth Proportional to 75.64, 112.80 and 71.59

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Solution

The fourth proportional to 75.64, 112.80 and 71.59 is: 106.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.64 : 112.80 = 71.59 : x
  2. Step 2: Convert to fraction form
    75.64/112.80 = 71.59/x
  3. Step 3: Cross multiply
    75.64x = 112.80 × 71.59
  4. Step 4: Simplify right side
    75.64x = 8,075.35
  5. Step 5: Solve for x
    x = 8,075.35/75.64
  6. Step 6: Final answer
    x = 106.76

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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.