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Finding the Fourth Proportional to 114.80, 172.02 and 90.48

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Solution

The fourth proportional to 114.80, 172.02 and 90.48 is: 135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.80 : 172.02 = 90.48 : x
  2. Step 2: Convert to fraction form
    114.80/172.02 = 90.48/x
  3. Step 3: Cross multiply
    114.80x = 172.02 × 90.48
  4. Step 4: Simplify right side
    114.80x = 15,564.39
  5. Step 5: Solve for x
    x = 15,564.39/114.80
  6. Step 6: Final answer
    x = 135.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.