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Finding the Fourth Proportional to 101.70, 156.51 and 101.70

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Solution

The fourth proportional to 101.70, 156.51 and 101.70 is: 156.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.70 : 156.51 = 101.70 : x
  2. Step 2: Convert to fraction form
    101.70/156.51 = 101.70/x
  3. Step 3: Cross multiply
    101.70x = 156.51 × 101.70
  4. Step 4: Simplify right side
    101.70x = 15,917.07
  5. Step 5: Solve for x
    x = 15,917.07/101.70
  6. Step 6: Final answer
    x = 156.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.