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Finding the Fourth Proportional to 145.84, 218.69 and 84.99

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Solution

The fourth proportional to 145.84, 218.69 and 84.99 is: 127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.84 : 218.69 = 84.99 : x
  2. Step 2: Convert to fraction form
    145.84/218.69 = 84.99/x
  3. Step 3: Cross multiply
    145.84x = 218.69 × 84.99
  4. Step 4: Simplify right side
    145.84x = 18,586.46
  5. Step 5: Solve for x
    x = 18,586.46/145.84
  6. Step 6: Final answer
    x = 127.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.