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Finding the Fourth Proportional to 152.60, 228.92 and 65.84

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Solution

The fourth proportional to 152.60, 228.92 and 65.84 is: 98.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.60 : 228.92 = 65.84 : x
  2. Step 2: Convert to fraction form
    152.60/228.92 = 65.84/x
  3. Step 3: Cross multiply
    152.60x = 228.92 × 65.84
  4. Step 4: Simplify right side
    152.60x = 15,072.09
  5. Step 5: Solve for x
    x = 15,072.09/152.60
  6. Step 6: Final answer
    x = 98.77

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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.