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Finding the Fourth Proportional to 145.02, 215.70 and 132.03

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Solution

The fourth proportional to 145.02, 215.70 and 132.03 is: 196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.02 : 215.70 = 132.03 : x
  2. Step 2: Convert to fraction form
    145.02/215.70 = 132.03/x
  3. Step 3: Cross multiply
    145.02x = 215.70 × 132.03
  4. Step 4: Simplify right side
    145.02x = 28,478.87
  5. Step 5: Solve for x
    x = 28,478.87/145.02
  6. Step 6: Final answer
    x = 196.38

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