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Finding the Fourth Proportional to 75.02, 103.54 and 56.57

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Solution

The fourth proportional to 75.02, 103.54 and 56.57 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 103.54 = 56.57 : x
  2. Step 2: Convert to fraction form
    75.02/103.54 = 56.57/x
  3. Step 3: Cross multiply
    75.02x = 103.54 × 56.57
  4. Step 4: Simplify right side
    75.02x = 5,857.26
  5. Step 5: Solve for x
    x = 5,857.26/75.02
  6. Step 6: Final answer
    x = 78.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.