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Finding the Fourth Proportional to 152.48, 210.06 and 110.77

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Solution

The fourth proportional to 152.48, 210.06 and 110.77 is: 152.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.48 : 210.06 = 110.77 : x
  2. Step 2: Convert to fraction form
    152.48/210.06 = 110.77/x
  3. Step 3: Cross multiply
    152.48x = 210.06 × 110.77
  4. Step 4: Simplify right side
    152.48x = 23,267.82
  5. Step 5: Solve for x
    x = 23,267.82/152.48
  6. Step 6: Final answer
    x = 152.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.