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Finding the Fourth Proportional to 105.76, 158.58 and 56.98

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Solution

The fourth proportional to 105.76, 158.58 and 56.98 is: 85.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 158.58 = 56.98 : x
  2. Step 2: Convert to fraction form
    105.76/158.58 = 56.98/x
  3. Step 3: Cross multiply
    105.76x = 158.58 × 56.98
  4. Step 4: Simplify right side
    105.76x = 9,035.89
  5. Step 5: Solve for x
    x = 9,035.89/105.76
  6. Step 6: Final answer
    x = 85.44

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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.