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Finding the Fourth Proportional to 152.45, 228.49 and 61.08

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Solution

The fourth proportional to 152.45, 228.49 and 61.08 is: 91.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.45 : 228.49 = 61.08 : x
  2. Step 2: Convert to fraction form
    152.45/228.49 = 61.08/x
  3. Step 3: Cross multiply
    152.45x = 228.49 × 61.08
  4. Step 4: Simplify right side
    152.45x = 13,956.17
  5. Step 5: Solve for x
    x = 13,956.17/152.45
  6. Step 6: Final answer
    x = 91.55

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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.