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Finding the Fourth Proportional to 128.07, 176.83 and 105.03

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Solution

The fourth proportional to 128.07, 176.83 and 105.03 is: 145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.07 : 176.83 = 105.03 : x
  2. Step 2: Convert to fraction form
    128.07/176.83 = 105.03/x
  3. Step 3: Cross multiply
    128.07x = 176.83 × 105.03
  4. Step 4: Simplify right side
    128.07x = 18,572.19
  5. Step 5: Solve for x
    x = 18,572.19/128.07
  6. Step 6: Final answer
    x = 145.02

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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.