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Finding the Fourth Proportional to 100.09, 149.23 and 95.01

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Solution

The fourth proportional to 100.09, 149.23 and 95.01 is: 141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.09 : 149.23 = 95.01 : x
  2. Step 2: Convert to fraction form
    100.09/149.23 = 95.01/x
  3. Step 3: Cross multiply
    100.09x = 149.23 × 95.01
  4. Step 4: Simplify right side
    100.09x = 14,178.34
  5. Step 5: Solve for x
    x = 14,178.34/100.09
  6. Step 6: Final answer
    x = 141.66

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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.