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Finding the Fourth Proportional to 128.59, 177.50 and 105.53

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Solution

The fourth proportional to 128.59, 177.50 and 105.53 is: 145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128.59 : 177.50 = 105.53 : x
  2. Step 2: Convert to fraction form
    128.59/177.50 = 105.53/x
  3. Step 3: Cross multiply
    128.59x = 177.50 × 105.53
  4. Step 4: Simplify right side
    128.59x = 18,730.16
  5. Step 5: Solve for x
    x = 18,730.16/128.59
  6. Step 6: Final answer
    x = 145.66

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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.