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Finding the Fourth Proportional to 128.83, 177.74 and 73.53

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Solution

The fourth proportional to 128.83, 177.74 and 73.53 is: 101.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.83 : 177.74 = 73.53 : x
  2. Step 2: Convert to fraction form
    128.83/177.74 = 73.53/x
  3. Step 3: Cross multiply
    128.83x = 177.74 × 73.53
  4. Step 4: Simplify right side
    128.83x = 13,068.46
  5. Step 5: Solve for x
    x = 13,068.46/128.83
  6. Step 6: Final answer
    x = 101.44

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Why These Related Problems?

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