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Finding the Fourth Proportional to 66.57, 100.47 and 66.57

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Solution

The fourth proportional to 66.57, 100.47 and 66.57 is: 100.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.57 : 100.47 = 66.57 : x
  2. Step 2: Convert to fraction form
    66.57/100.47 = 66.57/x
  3. Step 3: Cross multiply
    66.57x = 100.47 × 66.57
  4. Step 4: Simplify right side
    66.57x = 6,688.29
  5. Step 5: Solve for x
    x = 6,688.29/66.57
  6. Step 6: Final answer
    x = 100.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.