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Finding the Fourth Proportional to 75.12, 113.10 and 64.68

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Solution

The fourth proportional to 75.12, 113.10 and 64.68 is: 97.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.12 : 113.10 = 64.68 : x
  2. Step 2: Convert to fraction form
    75.12/113.10 = 64.68/x
  3. Step 3: Cross multiply
    75.12x = 113.10 × 64.68
  4. Step 4: Simplify right side
    75.12x = 7,315.31
  5. Step 5: Solve for x
    x = 7,315.31/75.12
  6. Step 6: Final answer
    x = 97.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.