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Finding the Fourth Proportional to 145.90, 219.00 and 77.56

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Solution

The fourth proportional to 145.90, 219.00 and 77.56 is: 116.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.90 : 219.00 = 77.56 : x
  2. Step 2: Convert to fraction form
    145.90/219.00 = 77.56/x
  3. Step 3: Cross multiply
    145.90x = 219.00 × 77.56
  4. Step 4: Simplify right side
    145.90x = 16,985.38
  5. Step 5: Solve for x
    x = 16,985.38/145.90
  6. Step 6: Final answer
    x = 116.42

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Why These Related Problems?

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