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Finding the Fourth Proportional to 104.42, 157.25 and 91.06

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Solution

The fourth proportional to 104.42, 157.25 and 91.06 is: 137.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.42 : 157.25 = 91.06 : x
  2. Step 2: Convert to fraction form
    104.42/157.25 = 91.06/x
  3. Step 3: Cross multiply
    104.42x = 157.25 × 91.06
  4. Step 4: Simplify right side
    104.42x = 14,319.19
  5. Step 5: Solve for x
    x = 14,319.19/104.42
  6. Step 6: Final answer
    x = 137.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.