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Finding the Fourth Proportional to 145.59, 200.81 and 129.86

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Solution

The fourth proportional to 145.59, 200.81 and 129.86 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.59 : 200.81 = 129.86 : x
  2. Step 2: Convert to fraction form
    145.59/200.81 = 129.86/x
  3. Step 3: Cross multiply
    145.59x = 200.81 × 129.86
  4. Step 4: Simplify right side
    145.59x = 26,075.53
  5. Step 5: Solve for x
    x = 26,075.53/145.59
  6. Step 6: Final answer
    x = 179.10

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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.