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Finding the Fourth Proportional to 152.68, 228.54 and 84.10

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Solution

The fourth proportional to 152.68, 228.54 and 84.10 is: 125.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.68 : 228.54 = 84.10 : x
  2. Step 2: Convert to fraction form
    152.68/228.54 = 84.10/x
  3. Step 3: Cross multiply
    152.68x = 228.54 × 84.10
  4. Step 4: Simplify right side
    152.68x = 19,220.21
  5. Step 5: Solve for x
    x = 19,220.21/152.68
  6. Step 6: Final answer
    x = 125.89

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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.