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Finding the Fourth Proportional to 66.06, 97.62 and 65.94

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Solution

The fourth proportional to 66.06, 97.62 and 65.94 is: 97.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.06 : 97.62 = 65.94 : x
  2. Step 2: Convert to fraction form
    66.06/97.62 = 65.94/x
  3. Step 3: Cross multiply
    66.06x = 97.62 × 65.94
  4. Step 4: Simplify right side
    66.06x = 6,437.06
  5. Step 5: Solve for x
    x = 6,437.06/66.06
  6. Step 6: Final answer
    x = 97.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.