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Finding the Fourth Proportional to 128.66, 177.54 and 73.40

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Solution

The fourth proportional to 128.66, 177.54 and 73.40 is: 101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.66 : 177.54 = 73.40 : x
  2. Step 2: Convert to fraction form
    128.66/177.54 = 73.40/x
  3. Step 3: Cross multiply
    128.66x = 177.54 × 73.40
  4. Step 4: Simplify right side
    128.66x = 13,030.55
  5. Step 5: Solve for x
    x = 13,030.55/128.66
  6. Step 6: Final answer
    x = 101.28

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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.