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Finding the Fourth Proportional to 65.37, 90.14 and 42.06

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Solution

The fourth proportional to 65.37, 90.14 and 42.06 is: 57.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.37 : 90.14 = 42.06 : x
  2. Step 2: Convert to fraction form
    65.37/90.14 = 42.06/x
  3. Step 3: Cross multiply
    65.37x = 90.14 × 42.06
  4. Step 4: Simplify right side
    65.37x = 3,791.08
  5. Step 5: Solve for x
    x = 3,791.08/65.37
  6. Step 6: Final answer
    x = 57.99

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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.