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Finding the Fourth Proportional to 98.99, 136.64 and 64.06

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Solution

The fourth proportional to 98.99, 136.64 and 64.06 is: 88.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.99 : 136.64 = 64.06 : x
  2. Step 2: Convert to fraction form
    98.99/136.64 = 64.06/x
  3. Step 3: Cross multiply
    98.99x = 136.64 × 64.06
  4. Step 4: Simplify right side
    98.99x = 8,753.39
  5. Step 5: Solve for x
    x = 8,753.39/98.99
  6. Step 6: Final answer
    x = 88.42

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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.