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Finding the Fourth Proportional to 100.02, 150.80 and 93.06

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Solution

The fourth proportional to 100.02, 150.80 and 93.06 is: 140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.02 : 150.80 = 93.06 : x
  2. Step 2: Convert to fraction form
    100.02/150.80 = 93.06/x
  3. Step 3: Cross multiply
    100.02x = 150.80 × 93.06
  4. Step 4: Simplify right side
    100.02x = 14,032.98
  5. Step 5: Solve for x
    x = 14,032.98/100.02
  6. Step 6: Final answer
    x = 140.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.