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Finding the Fourth Proportional to 145.60, 200.86 and 99.05

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Solution

The fourth proportional to 145.60, 200.86 and 99.05 is: 136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 200.86 = 99.05 : x
  2. Step 2: Convert to fraction form
    145.60/200.86 = 99.05/x
  3. Step 3: Cross multiply
    145.60x = 200.86 × 99.05
  4. Step 4: Simplify right side
    145.60x = 19,893.93
  5. Step 5: Solve for x
    x = 19,893.93/145.60
  6. Step 6: Final answer
    x = 136.64

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Why These Related Problems?

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