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Finding the Fourth Proportional to 144.90, 216.48 and 117.60

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Solution

The fourth proportional to 144.90, 216.48 and 117.60 is: 175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.90 : 216.48 = 117.60 : x
  2. Step 2: Convert to fraction form
    144.90/216.48 = 117.60/x
  3. Step 3: Cross multiply
    144.90x = 216.48 × 117.60
  4. Step 4: Simplify right side
    144.90x = 25,458.05
  5. Step 5: Solve for x
    x = 25,458.05/144.90
  6. Step 6: Final answer
    x = 175.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.