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Finding the Fourth Proportional to 145.60, 200.76 and 106.28

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Solution

The fourth proportional to 145.60, 200.76 and 106.28 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 200.76 = 106.28 : x
  2. Step 2: Convert to fraction form
    145.60/200.76 = 106.28/x
  3. Step 3: Cross multiply
    145.60x = 200.76 × 106.28
  4. Step 4: Simplify right side
    145.60x = 21,336.77
  5. Step 5: Solve for x
    x = 21,336.77/145.60
  6. Step 6: Final answer
    x = 146.54

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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.