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Finding the Fourth Proportional to 145.08, 199.99 and 95.87

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Solution

The fourth proportional to 145.08, 199.99 and 95.87 is: 132.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.08 : 199.99 = 95.87 : x
  2. Step 2: Convert to fraction form
    145.08/199.99 = 95.87/x
  3. Step 3: Cross multiply
    145.08x = 199.99 × 95.87
  4. Step 4: Simplify right side
    145.08x = 19,172.30
  5. Step 5: Solve for x
    x = 19,172.30/145.08
  6. Step 6: Final answer
    x = 132.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.