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Finding the Fourth Proportional to 145.60, 217.64 and 127.84

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Solution

The fourth proportional to 145.60, 217.64 and 127.84 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.60 : 217.64 = 127.84 : x
  2. Step 2: Convert to fraction form
    145.60/217.64 = 127.84/x
  3. Step 3: Cross multiply
    145.60x = 217.64 × 127.84
  4. Step 4: Simplify right side
    145.60x = 27,823.10
  5. Step 5: Solve for x
    x = 27,823.10/145.60
  6. Step 6: Final answer
    x = 191.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.