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Finding the Fourth Proportional to 152.54, 228.88 and 65.86

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Solution

The fourth proportional to 152.54, 228.88 and 65.86 is: 98.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 228.88 = 65.86 : x
  2. Step 2: Convert to fraction form
    152.54/228.88 = 65.86/x
  3. Step 3: Cross multiply
    152.54x = 228.88 × 65.86
  4. Step 4: Simplify right side
    152.54x = 15,074.04
  5. Step 5: Solve for x
    x = 15,074.04/152.54
  6. Step 6: Final answer
    x = 98.82

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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.