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Finding the Fourth Proportional to 152.17, 228.36 and 71.02

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Solution

The fourth proportional to 152.17, 228.36 and 71.02 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.17 : 228.36 = 71.02 : x
  2. Step 2: Convert to fraction form
    152.17/228.36 = 71.02/x
  3. Step 3: Cross multiply
    152.17x = 228.36 × 71.02
  4. Step 4: Simplify right side
    152.17x = 16,217.95
  5. Step 5: Solve for x
    x = 16,217.95/152.17
  6. Step 6: Final answer
    x = 106.58

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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.