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Finding the Fourth Proportional to 75.24, 103.44 and 64.32

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Solution

The fourth proportional to 75.24, 103.44 and 64.32 is: 88.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.24 : 103.44 = 64.32 : x
  2. Step 2: Convert to fraction form
    75.24/103.44 = 64.32/x
  3. Step 3: Cross multiply
    75.24x = 103.44 × 64.32
  4. Step 4: Simplify right side
    75.24x = 6,653.26
  5. Step 5: Solve for x
    x = 6,653.26/75.24
  6. Step 6: Final answer
    x = 88.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.