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Finding the Fourth Proportional to 66.51, 100.53 and 66.51

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Solution

The fourth proportional to 66.51, 100.53 and 66.51 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.51 : 100.53 = 66.51 : x
  2. Step 2: Convert to fraction form
    66.51/100.53 = 66.51/x
  3. Step 3: Cross multiply
    66.51x = 100.53 × 66.51
  4. Step 4: Simplify right side
    66.51x = 6,686.25
  5. Step 5: Solve for x
    x = 6,686.25/66.51
  6. Step 6: Final answer
    x = 100.53

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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.