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Finding the Fourth Proportional to 75.55, 112.70 and 64.12

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Solution

The fourth proportional to 75.55, 112.70 and 64.12 is: 95.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.55 : 112.70 = 64.12 : x
  2. Step 2: Convert to fraction form
    75.55/112.70 = 64.12/x
  3. Step 3: Cross multiply
    75.55x = 112.70 × 64.12
  4. Step 4: Simplify right side
    75.55x = 7,226.32
  5. Step 5: Solve for x
    x = 7,226.32/75.55
  6. Step 6: Final answer
    x = 95.65

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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.