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Finding the Fourth Proportional to 71.19, 106.66 and 55.99

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Solution

The fourth proportional to 71.19, 106.66 and 55.99 is: 83.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 106.66 = 55.99 : x
  2. Step 2: Convert to fraction form
    71.19/106.66 = 55.99/x
  3. Step 3: Cross multiply
    71.19x = 106.66 × 55.99
  4. Step 4: Simplify right side
    71.19x = 5,971.89
  5. Step 5: Solve for x
    x = 5,971.89/71.19
  6. Step 6: Final answer
    x = 83.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.