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Finding the Fourth Proportional to 145.93, 219.20 and 123.15

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Solution

The fourth proportional to 145.93, 219.20 and 123.15 is: 184.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.93 : 219.20 = 123.15 : x
  2. Step 2: Convert to fraction form
    145.93/219.20 = 123.15/x
  3. Step 3: Cross multiply
    145.93x = 219.20 × 123.15
  4. Step 4: Simplify right side
    145.93x = 26,994.48
  5. Step 5: Solve for x
    x = 26,994.48/145.93
  6. Step 6: Final answer
    x = 184.98

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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.