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Finding the Fourth Proportional to 145.60, 200.93 and 80.10

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Solution

The fourth proportional to 145.60, 200.93 and 80.10 is: 110.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 200.93 = 80.10 : x
  2. Step 2: Convert to fraction form
    145.60/200.93 = 80.10/x
  3. Step 3: Cross multiply
    145.60x = 200.93 × 80.10
  4. Step 4: Simplify right side
    145.60x = 16,094.54
  5. Step 5: Solve for x
    x = 16,094.54/145.60
  6. Step 6: Final answer
    x = 110.54

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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.