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Finding the Fourth Proportional to 127.99, 176.64 and 72.00

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Solution

The fourth proportional to 127.99, 176.64 and 72.00 is: 99.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.99 : 176.64 = 72.00 : x
  2. Step 2: Convert to fraction form
    127.99/176.64 = 72.00/x
  3. Step 3: Cross multiply
    127.99x = 176.64 × 72.00
  4. Step 4: Simplify right side
    127.99x = 12,717.69
  5. Step 5: Solve for x
    x = 12,717.69/127.99
  6. Step 6: Final answer
    x = 99.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.