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Finding the Fourth Proportional to 105.42, 157.99 and 59.65

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Solution

The fourth proportional to 105.42, 157.99 and 59.65 is: 89.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 157.99 = 59.65 : x
  2. Step 2: Convert to fraction form
    105.42/157.99 = 59.65/x
  3. Step 3: Cross multiply
    105.42x = 157.99 × 59.65
  4. Step 4: Simplify right side
    105.42x = 9,424.10
  5. Step 5: Solve for x
    x = 9,424.10/105.42
  6. Step 6: Final answer
    x = 89.40

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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.