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Finding the Fourth Proportional to 75.63, 112.94 and 66.42

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Solution

The fourth proportional to 75.63, 112.94 and 66.42 is: 99.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.63 : 112.94 = 66.42 : x
  2. Step 2: Convert to fraction form
    75.63/112.94 = 66.42/x
  3. Step 3: Cross multiply
    75.63x = 112.94 × 66.42
  4. Step 4: Simplify right side
    75.63x = 7,501.77
  5. Step 5: Solve for x
    x = 7,501.77/75.63
  6. Step 6: Final answer
    x = 99.19

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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.