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Finding the Fourth Proportional to 91.99, 127.07 and 64.45

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Solution

The fourth proportional to 91.99, 127.07 and 64.45 is: 89.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.99 : 127.07 = 64.45 : x
  2. Step 2: Convert to fraction form
    91.99/127.07 = 64.45/x
  3. Step 3: Cross multiply
    91.99x = 127.07 × 64.45
  4. Step 4: Simplify right side
    91.99x = 8,190.14
  5. Step 5: Solve for x
    x = 8,190.14/91.99
  6. Step 6: Final answer
    x = 89.03

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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.