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Finding the Fourth Proportional to 101.30, 143.51 and 101.30

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Solution

The fourth proportional to 101.30, 143.51 and 101.30 is: 143.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.30 : 143.51 = 101.30 : x
  2. Step 2: Convert to fraction form
    101.30/143.51 = 101.30/x
  3. Step 3: Cross multiply
    101.30x = 143.51 × 101.30
  4. Step 4: Simplify right side
    101.30x = 14,537.56
  5. Step 5: Solve for x
    x = 14,537.56/101.30
  6. Step 6: Final answer
    x = 143.51

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.