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Finding the Fourth Proportional to 106.98, 147.47 and 91.32

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Solution

The fourth proportional to 106.98, 147.47 and 91.32 is: 125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.98 : 147.47 = 91.32 : x
  2. Step 2: Convert to fraction form
    106.98/147.47 = 91.32/x
  3. Step 3: Cross multiply
    106.98x = 147.47 × 91.32
  4. Step 4: Simplify right side
    106.98x = 13,466.96
  5. Step 5: Solve for x
    x = 13,466.96/106.98
  6. Step 6: Final answer
    x = 125.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.