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Finding the Fourth Proportional to 128.94, 177.95 and 73.68

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Solution

The fourth proportional to 128.94, 177.95 and 73.68 is: 101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.94 : 177.95 = 73.68 : x
  2. Step 2: Convert to fraction form
    128.94/177.95 = 73.68/x
  3. Step 3: Cross multiply
    128.94x = 177.95 × 73.68
  4. Step 4: Simplify right side
    128.94x = 13,111.54
  5. Step 5: Solve for x
    x = 13,111.54/128.94
  6. Step 6: Final answer
    x = 101.69

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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.