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Finding the Fourth Proportional to 73.58, 101.08 and 65.91

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Solution

The fourth proportional to 73.58, 101.08 and 65.91 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.58 : 101.08 = 65.91 : x
  2. Step 2: Convert to fraction form
    73.58/101.08 = 65.91/x
  3. Step 3: Cross multiply
    73.58x = 101.08 × 65.91
  4. Step 4: Simplify right side
    73.58x = 6,661.64
  5. Step 5: Solve for x
    x = 6,661.64/73.58
  6. Step 6: Final answer
    x = 90.54

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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.