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Finding the Fourth Proportional to 145.51, 200.36 and 98.86

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Solution

The fourth proportional to 145.51, 200.36 and 98.86 is: 136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.51 : 200.36 = 98.86 : x
  2. Step 2: Convert to fraction form
    145.51/200.36 = 98.86/x
  3. Step 3: Cross multiply
    145.51x = 200.36 × 98.86
  4. Step 4: Simplify right side
    145.51x = 19,807.59
  5. Step 5: Solve for x
    x = 19,807.59/145.51
  6. Step 6: Final answer
    x = 136.13

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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.