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Finding the Fourth Proportional to 152.40, 228.32 and 61.05

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Solution

The fourth proportional to 152.40, 228.32 and 61.05 is: 91.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 228.32 = 61.05 : x
  2. Step 2: Convert to fraction form
    152.40/228.32 = 61.05/x
  3. Step 3: Cross multiply
    152.40x = 228.32 × 61.05
  4. Step 4: Simplify right side
    152.40x = 13,938.94
  5. Step 5: Solve for x
    x = 13,938.94/152.40
  6. Step 6: Final answer
    x = 91.46

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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.