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Finding the Fourth Proportional to 89.99, 124.25 and 64.13

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Solution

The fourth proportional to 89.99, 124.25 and 64.13 is: 88.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.99 : 124.25 = 64.13 : x
  2. Step 2: Convert to fraction form
    89.99/124.25 = 64.13/x
  3. Step 3: Cross multiply
    89.99x = 124.25 × 64.13
  4. Step 4: Simplify right side
    89.99x = 7,967.69
  5. Step 5: Solve for x
    x = 7,967.69/89.99
  6. Step 6: Final answer
    x = 88.54

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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.