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Finding the Fourth Proportional to 152.23, 228.20 and 56.02

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Solution

The fourth proportional to 152.23, 228.20 and 56.02 is: 83.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 228.20 = 56.02 : x
  2. Step 2: Convert to fraction form
    152.23/228.20 = 56.02/x
  3. Step 3: Cross multiply
    152.23x = 228.20 × 56.02
  4. Step 4: Simplify right side
    152.23x = 12,783.76
  5. Step 5: Solve for x
    x = 12,783.76/152.23
  6. Step 6: Final answer
    x = 83.98

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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.