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Finding the Fourth Proportional to 127.56, 175.29 and 101.64

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Solution

The fourth proportional to 127.56, 175.29 and 101.64 is: 139.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.56 : 175.29 = 101.64 : x
  2. Step 2: Convert to fraction form
    127.56/175.29 = 101.64/x
  3. Step 3: Cross multiply
    127.56x = 175.29 × 101.64
  4. Step 4: Simplify right side
    127.56x = 17,816.48
  5. Step 5: Solve for x
    x = 17,816.48/127.56
  6. Step 6: Final answer
    x = 139.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.