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Finding the Fourth Proportional to 145.23, 216.82 and 129.03

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Solution

The fourth proportional to 145.23, 216.82 and 129.03 is: 192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.23 : 216.82 = 129.03 : x
  2. Step 2: Convert to fraction form
    145.23/216.82 = 129.03/x
  3. Step 3: Cross multiply
    145.23x = 216.82 × 129.03
  4. Step 4: Simplify right side
    145.23x = 27,975.96
  5. Step 5: Solve for x
    x = 27,975.96/145.23
  6. Step 6: Final answer
    x = 192.63

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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.