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Finding the Fourth Proportional to 145.54, 218.10 and 77.04

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Solution

The fourth proportional to 145.54, 218.10 and 77.04 is: 115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.54 : 218.10 = 77.04 : x
  2. Step 2: Convert to fraction form
    145.54/218.10 = 77.04/x
  3. Step 3: Cross multiply
    145.54x = 218.10 × 77.04
  4. Step 4: Simplify right side
    145.54x = 16,802.42
  5. Step 5: Solve for x
    x = 16,802.42/145.54
  6. Step 6: Final answer
    x = 115.45

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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.