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Finding the Fourth Proportional to 111.42, 165.98 and 104.77

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Solution

The fourth proportional to 111.42, 165.98 and 104.77 is: 156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 165.98 = 104.77 : x
  2. Step 2: Convert to fraction form
    111.42/165.98 = 104.77/x
  3. Step 3: Cross multiply
    111.42x = 165.98 × 104.77
  4. Step 4: Simplify right side
    111.42x = 17,390.19
  5. Step 5: Solve for x
    x = 17,390.19/111.42
  6. Step 6: Final answer
    x = 156.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.